• 1452 Citations
  • 19 h-Index
1989 …2020
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Research Output 1989 2020

  • 1452 Citations
  • 19 h-Index
  • 131 Article
  • 1 Chapter
  • 1 Review article
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Article
2020

Rigid local systems with monodromy group the Conway group Co3

Katz, N. M., Rojas-León, A. & Tiep, P. H., Jan 2020, In : Journal of Number Theory. 206, p. 1-23 23 p.

Research output: Contribution to journalArticle

Monodromy Group
Local System
Line
Irreducible Representation
Sort
2019
1 Citation (Scopus)

Brauer correspondent blocks with one simple module

Navarro, G., Tiep, P. H. & Vallejo, C., Feb 1 2019, In : Transactions of the American Mathematical Society. 371, 2, p. 903-922 20 p.

Research output: Contribution to journalArticle

Simple Module
Representation Theory
Finite Group
Odd
Relationships

Decomposition numbers and local properties

Navarro, G. & Tiep, P., Jan 1 2019, In : Journal of Algebra.

Research output: Contribution to journalArticle

Matrix Decomposition
Normalizer
Local Properties
Finite Group
Decompose

Irreducible induction and nilpotent subgroups in finite groups

Halasi, Z., Maróti, A., Navarro, G. & Tiep, P., Jan 1 2019, In : Journal of Algebra.

Research output: Contribution to journalArticle

Proof by induction
Finite Group
Generalized Fitting Subgroup
Subgroup
Irreducible Character

Irreducible restrictions of representations of symmetric groups in small characteristics: reduction theorems

Kleshchev, A., Morotti, L. & Tiep, P. H., Oct 1 2019, In : Mathematische Zeitschrift. 293, 1-2, p. 677-723 47 p.

Research output: Contribution to journalArticle

Symmetric group
Subgroup
Restriction
Module
Maximal Subgroup
1 Citation (Scopus)

Left 3-engel elements of odd order in groups

Jabara, E., Traustason, G. & Tiep, P., May 1 2019, In : Proceedings of the American Mathematical Society. 147, 5, p. 1921-1927 7 p.

Research output: Contribution to journalArticle

Algebra
Odd
Sandwich
Finitely Generated
Exponent

Local systems and finite unitary and symplectic groups

Katz, N. M. & Tiep, P. H., Dec 15 2019, In : Advances in Mathematics. 358, 106859.

Research output: Contribution to journalArticle

Monodromy Group
Local System
Symplectic Group
Unitary group
Finite Group

Moments of Weil representations of finite special unitary groups

Katz, N. M. & Tiep, P., Jan 1 2019, In : Journal of Algebra.

Research output: Contribution to journalArticle

Weil Representation
Unitary group
Odd
Moment
1 Citation (Scopus)

On real and rational characters in blocks

Navarro, G., Robinson, G. R. & Tiep, P., Apr 1 2019, In : International Mathematics Research Notices. 2019, 7, p. 1955-1973 19 p.

Research output: Contribution to journalArticle

Finite Group
Odd
Analogue
Character

Order of products of elements in finite groups

Beltrán, A., Lyons, R., Moretó, A., Navarro, G., Sáez, A. & Tiep, P. H., Apr 2019, In : Journal of the London Mathematical Society. 99, 2, p. 535-552 18 p.

Research output: Contribution to journalArticle

Finite P-group
Normal subgroup
Finite Group
Knowledge

Probabilistic Waring problems for finite simple groups

Larsen, M., Shalev, A. & Tiep, P. H., Jan 1 2019, In : Annals of Mathematics. 190, 2, p. 561-608 48 p.

Research output: Contribution to journalArticle

Waring's problem
Finite Simple Group
Uniform distribution
Disjoint
One-relator Groups
1 Citation (Scopus)

Rigid local systems and finite symplectic groups

Katz, N. M. & Tiep, P., Sep 1 2019, In : Finite Fields and their Applications. 59, p. 134-174 41 p.

Research output: Contribution to journalArticle

Monodromy Group
Arithmetic Groups
Local System
Symplectic Group
Finite Group
1 Citation (Scopus)

Rigid local systems with monodromy group the Conway group Co 2

Katz, N. M., Rojas-León, A. & Tiep, P. H., Jan 1 2019, (Accepted/In press) In : International Journal of Number Theory.

Research output: Contribution to journalArticle

Monodromy Group
Local System
Pullback
Sheaves
Multiplicative

Sectional rank and cohomology

Guralnick, R. M. & Tiep, P., Jan 1 2019, In : Journal of Algebra.

Research output: Contribution to journalArticle

Cohomology
P-rank
Cohomology of Groups
Subgroup
Imply
2018

Character bounds for finite groups of lie type

Bezrukavnikov, R., Shalev, A., Liebeck, M. W. & Tiep, P. H., Jan 1 2018, In : Acta Mathematica. 221, 1, p. 1-57 57 p.

Research output: Contribution to journalArticle

Open Access
Finite Groups of Lie Type
Character

Characters and Sylow 2-subgroups of maximal class revisited

Navarro, G., Sambale, B. & Tiep, P., Nov 1 2018, In : Journal of Pure and Applied Algebra. 222, 11, p. 3721-3732 12 p.

Research output: Contribution to journalArticle

Finite Group
Subgroup
Character Table
Class
Character

Finite groups with many values in a column of the character table

Tiep, P. & Tong-Viet, H. P., Oct 1 2018, In : Journal of Algebra and its Applications. 17, 10, 1850196.

Research output: Contribution to journalArticle

Character Table
Pairwise
Finite Group
Classify
Distinct
2 Citations (Scopus)

Irreducible characters of 3′-degree of finite symmetric, general linear and unitary groups

Giannelli, E., Tent, J. & Tiep, P., Aug 1 2018, In : Journal of Pure and Applied Algebra. 222, 8, p. 2199-2228 30 p.

Research output: Contribution to journalArticle

Irreducible Character
Coprime
General Linear Group
Unitary group
Field of Values

On 2-Brauer characters of odd degree

Navarro, G. & Tiep, P., Oct 1 2018, In : Mathematische Zeitschrift. 290, 1-2, p. 469-483 15 p.

Research output: Contribution to journalArticle

Odd
Bijection
Character
4 Citations (Scopus)

Surjective word maps and Burnside’s p a q b theorem

Guralnick, R. M., Liebeck, M. W., O’Brien, E. A., Shalev, A. & Tiep, P., Aug 1 2018, In : Inventiones Mathematicae. 213, 2, p. 589-695 107 p.

Research output: Contribution to journalArticle

Surjectivity
Simple group
Theorem
Integer
Prime factor
2017
2 Citations (Scopus)

Adequate subgroups and indecomposable modules

Guralnick, R., Herzig, F. & Tiep, P. H., Jan 1 2017, In : Journal of the European Mathematical Society. 19, 4, p. 1231-1291 61 p.

Research output: Contribution to journalArticle

Jacks
Subgroup
Module
Irreducible Representation
Wiles
6 Citations (Scopus)

Character restrictions and multiplicities in symmetric groups

Isaacs, I. M., Navarro, G., Olsson, J. B. & Tiep, P. H., May 15 2017, In : Journal of Algebra. 478, p. 271-282 12 p.

Research output: Contribution to journalArticle

Character Degrees
Symmetric group
Multiplicity
Restriction
Correspondence

Coprime actions and correspondences of Brauer characters

Navarro, G., Späth, B. & Tiep, P., Jan 1 2017, In : Proceedings of the London Mathematical Society. 114, 4, p. 589-613 25 p.

Research output: Contribution to journalArticle

Coprime
Bijection
Correspondence
Character
Evidence
1 Citation (Scopus)

Irreducible characters of even degree and normal Sylow 2-subgroups

Hung, N. N. & Tiep, P. H., Mar 1 2017, In : Mathematical Proceedings of the Cambridge Philosophical Society. 162, 2, p. 353-365 13 p.

Research output: Contribution to journalArticle

Irreducible Character
Character Degrees
Subgroup
Finite Group
Theorem
11 Citations (Scopus)

Restriction of Odd Degree Characters and Natural Correspondences

Giannelli, E., Kleshchev, A., Navarro, G. & Tiep, P., Oct 1 2017, In : International Mathematics Research Notices. 2017, 20, p. 6089-6118 30 p.

Research output: Contribution to journalArticle

Character Degrees
Correspondence
Odd
Restriction
Irreducible Character

Some conjectures on Frobenius' character sum:

Shalev, A. & Tiep, P., Oct 1 2017, In : Bulletin of the London Mathematical Society. 49, 5, p. 895-902 8 p.

Research output: Contribution to journalArticle

Character Sums
Frobenius
Finite Simple Group
Commutator
Finite Group
2016
7 Citations (Scopus)

An Erdos-Ko-Rado theorem for finite 2-transitive groups

Meagher, K., Spiga, P. & Tiep, P., Jul 1 2016, In : European Journal of Combinatorics. 55, p. 100-118 19 p.

Research output: Contribution to journalArticle

Erdös
Theorem
Cardinality
Permutation
Finite Group
7 Citations (Scopus)

Arithmetic results on orbits of linear groups

Giudici, M., Liebeck, M. W., Praeger, C. E., Saxl, J. & Tiep, P. H., Apr 2016, In : Transactions of the American Mathematical Society. 368, 4, p. 2415-2467 53 p.

Research output: Contribution to journalArticle

Linear Group
Divisible
Orbits
Orbit
Coprime
1 Citation (Scopus)

Finite groups with odd sylow normalizers

Guralnick, R. M., Navarro, G. & Tiep, P. H., Jan 1 2016, In : Proceedings of the American Mathematical Society. 144, 12, p. 5129-5139 11 p.

Research output: Contribution to journalArticle

Normalizer
Finite Group
Odd
Chemical analysis
13 Citations (Scopus)

Irreducible representations of odd degree

Navarro, G. & Tiep, P. H., Aug 1 2016, In : Mathematische Annalen. 365, 3-4, p. 1155-1185 31 p.

Research output: Contribution to journalArticle

Simple group
Irreducible Representation
Finite Group
Odd
Observation
5 Citations (Scopus)

Nilpotent and abelian hall subgroups in finite groups

Beltrán, A., Felipe, M. J., Malle, G., Moretó, A., Navarro, G., Sanus, L., Solomon, R. & Tiep, P. H., Apr 2016, In : Transactions of the American Mathematical Society. 368, 4, p. 2497-2513 17 p.

Research output: Contribution to journalArticle

Hall Subgroup
Character Table
Finite Group
1 Citation (Scopus)

Non-abelian Littlewood–Offord inequalities

Tiep, P. H. & Vu, V. H., Oct 22 2016, In : Advances in Mathematics. 302, p. 1233-1250 18 p.

Research output: Contribution to journalArticle

Concentration Inequalities
Sums of Independent Random Variables
Independent Random Variables
Analogue
2 Citations (Scopus)

Real groups and Sylow 2-subgroups

Navarro, G. & Tiep, P., Aug 20 2016, In : Advances in Mathematics. 299, p. 331-360 30 p.

Research output: Contribution to journalArticle

Subgroup
Imply
3 Citations (Scopus)

Representations of the alternating group which are irreducible over subgroups, II

Kleshchev, A., Sin, P. & Tiep, P. H., Oct 2016, In : American Journal of Mathematics. 138, 5, p. 1383-1423 41 p.

Research output: Contribution to journalArticle

Alternating group
Subgroup
Permutation Representation
Classical Groups
Simple group
1 Citation (Scopus)

The α-invariant and Thompson's conjecture

Tiep, P. H., Jan 1 2016, In : Forum of Mathematics, Pi. 4, e5.

Research output: Contribution to journalArticle

Semi-invariants
Subgroup
Invariant
Imply
Integer
2015
3 Citations (Scopus)

Abelian Sylow subgroups in a finite group, II

Navarro, G., Solomon, R. & Tiep, P., Jan 1 2015, In : Journal of Algebra. 421, p. 3-11 9 p.

Research output: Contribution to journalArticle

Sylow Subgroup
Coprime
Finite Group
Irreducible Character
Subgroup
3 Citations (Scopus)

Adequate groups of low degree

Guralnick, R., Herzig, F. & Tiep, P. H., Jan 1 2015, In : Algebra and Number Theory. 9, 1, p. 77-148 72 p.

Research output: Contribution to journalArticle

Subgroup
Galois Representations
Irreducible Representation
Denote
Module

A REFINED WARING PROBLEM FOR FINITE SIMPLE GROUPS

Larsen, M. & Tiep, P., Jan 1 2015, In : Forum of Mathematics, Sigma. 3, e6.

Research output: Contribution to journalArticle

Waring's problem
Lie groups
Finite Simple Group
Simple group
Compact Lie Group
6 Citations (Scopus)

Effective results on the waring problem for finite simple groups

Guralnick, R. M. & Tiep, P., Oct 1 2015, In : American Journal of Mathematics. 137, 5, p. 1401-1430 30 p.

Research output: Contribution to journalArticle

Waring's problem
Finite Simple Group
Finite Groups of Lie Type
Square free
Simple group
10 Citations (Scopus)

Lifting in Frattini covers and a characterization of finite solvable groups

Guralnick, R. M. & Tiep, P. H., Nov 2015, In : Journal fur die Reine und Angewandte Mathematik. 2015, 708, p. 49-72 24 p.

Research output: Contribution to journalArticle

Solvable Group
Finite Group
Cover
Pi
Covering
4 Citations (Scopus)

Real ordinary characters and real brauer characters

Tiep, P., Jan 1 2015, In : Transactions of the American Mathematical Society. 367, 2, p. 1273-1312 40 p.

Research output: Contribution to journalArticle

Coprime
Frobenius
Finite Group
Theorem
Character
1 Citation (Scopus)

Subgroup Structure and Representations of Finite and Algebraic Groups

Tiep, P. H., Sep 1 2015, In : Vietnam Journal of Mathematics. 43, 3, p. 501-513 13 p.

Research output: Contribution to journalArticle

Group Theory
Algebraic Groups
Finite Group
Subgroup
Group Representation
3 Citations (Scopus)

Weil representations of finite general linear groups and finite special linear groups

Tiep, P., Jan 1 2015, In : Pacific Journal of Mathematics. 279, 1, p. 481-498 18 p.

Research output: Contribution to journalArticle

Weil Representation
Special Linear Group
General Linear Group
Restriction
Parabolic Subgroup
2014
9 Citations (Scopus)

Abelian sylow subgroups in a finite group

Navarro, G. & Tiep, P., Jan 15 2014, In : Journal of Algebra. 398, p. 519-526 8 p.

Research output: Contribution to journalArticle

Sylow Subgroup
Coprime
Finite Group
Subgroup
If and only if
3 Citations (Scopus)

Brauer characters and rationality

Navarro, G. & Tiep, P. H., Apr 1 2014, In : Mathematische Zeitschrift. 276, 3-4, p. 1101-1112 12 p.

Research output: Contribution to journalArticle

Rationality
Divisible
Finite Group
If and only if
Character
5 Citations (Scopus)

Finite groups with two conjugacy classes of p-elements and related questions for p-blocks

Külshammer, B., Sambale, B., Navarro, G. & Tiep, P., Jan 1 2014, In : Bulletin of the London Mathematical Society. 46, 2, p. 305-314 10 p.

Research output: Contribution to journalArticle

Conjugacy class
Finite Group
Exponent
Subgroup
3 Citations (Scopus)

Groups with exactly one irreducible character of degree divisible by P

Goldstein, D., Guralnick, R. M., Lewis, M. L., Moretó, A., Navarro, G. & Tiep, P., Jan 1 2014, In : Algebra and Number Theory. 8, 2, p. 397-428 32 p.

Research output: Contribution to journalArticle

Irreducible Character
Divisible
Finite Group
9 Citations (Scopus)

Mckay natural correspondences on characters

Navarro, G., Tiep, P. & Vallejo, C., Jan 1 2014, In : Algebra and Number Theory. 8, 8, p. 1839-1856 18 p.

Research output: Contribution to journalArticle

Correspondence
Finite P-group
Normalizer
Decomposable
Divisible
3 Citations (Scopus)

On fully ramified Brauer characters

Navarro, G., Späth, B. & Tiep, P., Jun 1 2014, In : Advances in Mathematics. 257, p. 248-265 18 p.

Research output: Contribution to journalArticle

Simple Module
Finite P-group
Solvable Group
Normal subgroup
Group Algebra
1 Citation (Scopus)

P-Parts of Brauer character degrees

Navarro, G., Tiep, P. & Tong-Viet, H. P., Feb 1 2014, In : Journal of Algebra. 403, p. 426-438 13 p.

Research output: Contribution to journalArticle

Character Degrees
Solvability
Finite Group
Odd
Distinct