Character degrees in 𝜋-separable groups

  • 1 Dipartimento di Matematica e Informatica, Università degli Studi di Firenze, Firenze, Italy
Nicola Grittini
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  • Dipartimento di Matematica e Informatica, Università degli Studi di Firenze, Firenze, Italy
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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).

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The Journal of Group Theory is devoted to the publication of original research articles in all aspects of group theory. Articles concerning applications of group theory and articles from research areas which have a significant impact on group theory will also be considered.

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