One-prime power hypothesis for conjugacy class sizes

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 (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Algebra and Combinatorics (former - to 2024) Faculty of Science > Research Groups > Algebra, Number Theory, Logic, and Representations (ANTLR)
Related URLs:	http://ijgt.ui.ac.ir/article_12043_81116...
Depositing User:	Pure Connector
Date Deposited:	02 Sep 2017 05:06
Last Modified:	28 Mar 2025 08:20
URI:	https://ueaeprints.uea.ac.uk/id/eprint/64726
DOI:

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