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 |
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Faculty \ School: | Faculty of Science > School of Mathematics |
Related URLs: | |
Depositing User: | Pure Connector |
Date Deposited: | 02 Sep 2017 05:06 |
Last Modified: | 24 Nov 2020 01:09 |
URI: | https://ueaeprints.uea.ac.uk/id/eprint/64726 |
DOI: |
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