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

Burkhard Külshammer, Benjamin Sambale, Gabriel Navarro, Pham Huu Tiep

Research output: Contribution to journalArticle

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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
Publication statusPublished - Apr 2014
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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