On p-parts of Brauer character degrees and p-regular conjugacy class sizes of finite groups
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DOI: 10.1016/j.jalgebra.2020.05.018
Abstract: Let $G$ be a finite group, $p$ a prime, and $IBr_p(G)$ the set of irreducible $p$-Brauer characters of $G$. Let $\bar e_p(G)$ be the largest integer such that $p^{\bar e_p(G)}$ divides $\chi(1)$ for some $\chi… read more here.
Keywords: class sizes; finite groups; conjugacy class; parts brauer ... See more keywords
The largest character degree, conjugacy class size and subgroups of finite groups
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DOI: 10.1080/00927872.2017.1376211
Abstract: ABSTRACT Let G be a finite group, let b(G) denote the largest irreducible character degree of the group G and let bcl(G) denote the largest conjugacy class size of the group G. We study the… read more here.
Keywords: conjugacy class; character degree; class size;
Determining group structure by set of conjugacy class sizes
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DOI: 10.1080/00927872.2019.1691580
Abstract: Abstract Let G be a finite group. Let further be three positive integers such that m1 and m2 do not divide each other and is coprime to m3. We prove that if the set of… read more here.
Keywords: conjugacy class; set conjugacy; group; class sizes ... See more keywords