One-prime power hypothesis for conjugacy class sizes
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Authors
Camina, AR
Camina, RD
Publication Date
2017-09-01Journal Title
International Journal of Group Theory
ISSN
2251-7650
Volume
6
Issue
3
Pages
12-19
Type
Article
This Version
AM
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Camina, A., & Camina, R. (2017). One-prime power hypothesis for conjugacy class sizes. International Journal of Group Theory, 6 (3), 12-19. https://doi.org/10.22108/IJGT.2017.12043
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(Formula Present.) P SL2(q) for q ∈ {4, 8}. We confirm this conjecture.
Identifiers
External DOI: https://doi.org/10.22108/IJGT.2017.12043
This record's URL: https://www.repository.cam.ac.uk/handle/1810/287252
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