Journal of Group Theory ( IF 0.466 ) Pub Date : 2020-07-10 , DOI: 10.1515/jgth-2019-0186
Nicola Grittini

If a group G is π-separable, where π is a set of primes, the set of irreducible characters $Bπ⁡(G)∪Bπ′⁡(G)$ can be defined. In this paper, we prove variants of some classical theorems in character theory, namely the theorem of Ito–Michler and Thompson’s theorem on character degrees, involving irreducible characters in the set $Bπ⁡(G)∪Bπ′⁡(G)$.

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