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Huppert’s conjecture and almost simple groups

Rendiconti del Seminario Matematico della Universita di Padova, 2022
Let G be a finite group and cd(G) denote the set of complex irreducible character degrees of G. In this paper, we prove that if G is a finite group and H is an almost simple group whose socle is H0 = PSL(2, q) with q = 2 f (f prime) such that cd(G) = cd ...
A. Daneshkhah
semanticscholar   +1 more source

Zeros of irreducible characters of metabelian $p$-groups

Rendiconti del Seminario Matematico della Universita di Padova, 2018
We show that if χ is an irreducible complex character of a metabelian p group P, where p is an odd prime, and if x ∈ P satisfies χ(x) 6= 0, then the order of x divides |P |/χ(1). Mathematics Subject Classification (2010). 20C15; 20D15.
Tom Wilde
semanticscholar   +1 more source

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