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math.GR2022★ 3 cited
Conjugacy classes of -elements and nilpotent/abelian Hall -subgroups
N. N. Hung, A. Maróti, J. Martínez
Let be a finite group and be a set of primes. We study finite groups with a large number of conjugacy classes of -elements. In particular, we obtain precise lower bounds…
math.GR2022
Groups with small multiplicities of fields of values of irreducible characters
Juan Martínez
In this work, we classify all finite groups such that for every field extension F of \mathbb{Q}, F is the field of values of at most 3 irreducible characters.