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).
| Original language | English |
|---|---|
| Pages (from-to) | 1069-1080 |
| Number of pages | 12 |
| Journal | Journal of Group Theory |
| Volume | 23 |
| DOIs | |
| Publication status | Published - 2020 |
Keywords
- character degrees
- normal subgroups
- prime divisors
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