ON THE LARGEST CHARACTER DEGREE OF SOLVABLE GROUPS
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DOI: 10.1017/s000497272510021x
Abstract: We strengthen two results of Moretó. We prove that the index of the Fitting subgroup is bounded in terms of the degrees of the irreducible monomial Brauer characters of the finite solvable group G and… read more here.
Keywords: character degree; solvable groups; largest character; degree solvable ... See more keywords
The largest character degree, conjugacy class size and subgroups of finite groups
Sign Up to like & getrecommendations! Published in 2018 at "Communications in Algebra"
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;