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

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

doi:10.1112/blms/bdt099

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

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

Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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 language	English (US)
Pages (from-to)	305-314
Number of pages	10
Journal	Bulletin of the London Mathematical Society
Volume	46
Issue number	2
DOIs	https://doi.org/10.1112/blms/bdt099
State	Published - Apr 2014

ASJC Scopus subject areas

Mathematics(all)

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title = "Finite groups with two conjugacy classes of p-elements and related questions for p-blocks",

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.",

author = "Burkhard K{\"u}lshammer and Benjamin Sambale and Gabriel Navarro and Tiep, {Pham Huu}",

year = "2014",

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AU - Sambale, Benjamin

AU - Navarro, Gabriel

AU - Tiep, Pham Huu

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AB - 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.

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