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

Preview

PDF (Published manuscript) - Published Version Available under License ["licenses_description_unspecified" not defined]. Download (197kB) | Preview

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
Related URLs:	http://ijgt.ui.ac.ir/article_12043_81116...
Depositing User:	Pure Connector
Date Deposited:	02 Sep 2017 05:06
Last Modified:	22 Apr 2020 05:28
URI:	https://ueaeprints.uea.ac.uk/id/eprint/64726
DOI:

Actions (login required)

View Item