Hung, N.N. and Maróti, Attila (2022) p-Regular conjugacy classes and p-rational irreducible characters. JOURNAL OF ALGEBRA, Availa. ISSN 0021-8693
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Official URL: https://doi.org/10.1016/j.jalgebra.2021.02.007
Abstract
Let G be a finite group of order divisible by a prime p. The number of conjugacy classes of p-elements and p-regular elements of G is at least 2p−1. Also, the number of p-rational and p′-rational irreducible characters of G is at least 2p−1. Along the way we prove a uniform lower bound for the number of p-regular classes in a finite simple group of Lie type in terms of its rank and size of the underlying field. © 2021 The Author(s)
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | finite groups; CONJUGACY CLASSES; Brauer characters; p-regular classes; p-Rational characters; |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 03 Nov 2022 12:47 |
| Last Modified: | 03 Nov 2022 12:47 |
| URI: | http://real.mtak.hu/id/eprint/152871 |
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