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arXiv:1804.10513 [math.GR]AbstractReferencesReviewsResources

2-Parts of real class sizes

Hung P. Tong-Viet

Published 2018-04-25Version 1

We investigate the structure of finite groups whose non-central real class sizes have the same $2$-part. In particular, we prove that such groups are solvable and have $2$-length one. As a consequence, we show that a finite group is solvable if it has two real class sizes. This confirms a conjecture due to G. Navarro, L. Sanus and P. Tiep.

Categories: math.GR
Subjects: 20E45, 20D10
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