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

Burkhard Külshammer, Benjamin Sambale, Gabriel Navarro, Pham Tiep

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We prove that a finite group in which any two nontrivial p-elements are conjugate have Sylow p-subgroups which are either elementary abelian or extra-special of order p3 and exponent p.

Original languageEnglish (US)
Pages (from-to)305-314
Number of pages10
JournalBulletin of the London Mathematical Society
Volume46
Issue number2
DOIs
StatePublished - Jan 1 2014
Externally publishedYes

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Conjugacy class
Finite Group
Exponent
Subgroup

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Külshammer, Burkhard ; Sambale, Benjamin ; Navarro, Gabriel ; Tiep, Pham. / Finite groups with two conjugacy classes of p-elements and related questions for p-blocks. In: Bulletin of the London Mathematical Society. 2014 ; Vol. 46, No. 2. pp. 305-314.
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Finite groups with two conjugacy classes of p-elements and related questions for p-blocks. / Külshammer, Burkhard; Sambale, Benjamin; Navarro, Gabriel; Tiep, Pham.

In: Bulletin of the London Mathematical Society, Vol. 46, No. 2, 01.01.2014, p. 305-314.

Research output: Contribution to journalArticle

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