One-prime power hypothesis for conjugacy class sizes

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Camina, Alan and Camina, Rachel (2017) One-prime power hypothesis for conjugacy class sizes. International Journal of Group Theory, 6 (3). pp. 13-19. ISSN 2251-7650

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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.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics
UEA Research Groups: Faculty of Science > Research Groups > Algebra and Combinatorics
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Depositing User: Pure Connector
Date Deposited: 02 Sep 2017 05:06
Last Modified: 13 May 2023 00:15
URI: https://ueaeprints.uea.ac.uk/id/eprint/64726
DOI:

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