Abstract
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).
Lingua originale | English |
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pagine (da-a) | 1069-1080 |
Numero di pagine | 12 |
Rivista | Journal of Group Theory |
Volume | 23 |
DOI | |
Stato di pubblicazione | Pubblicato - 2020 |
Keywords
- character degrees
- normal subgroups
- prime divisors