One-prime power hypothesis for conjugacy class sizes

Alan Camina, Rachel Camina

Research output: Contribution to journalArticle

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Abstract

A finite group G satisfies the one-prime power hypothesis for conjugacy class sizes if any two conjugacy class sizes m and n are either equal or have common divisor a prime power. Taeri conjectured that an insoluble group satisfying this condition is isomorphic to S × A where A is abelian and S ∼= P SL2(q) for q ∈ {4, 8}. We confirm this conjecture.
Original languageEnglish
Pages (from-to)13-19
JournalInternational Journal of Group Theory
Volume6
Issue number3
Publication statusPublished - Sep 2017

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