Groups with few 𝑝’-character degrees in the principal block

authored by

Eugenio Giannelli, Noelia Rizo, Benjamin Sambale, A. A. Schaeffer Fry

Abstract

Let p ≥ 5 be a prime and let G be a finite group. We prove that G is p-solvable of p-length at most 2 if there are at most two distinct p-character degrees in the principal p-block of G. This generalizes a theorem of Isaacs-Smith as well as a recent result of three of the present authors.

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics

External Organisation(s)

University of Florence (UniFi)
Metropolitan State University of Denver (MSU)

Type

Article

Journal

Proceedings of the American Mathematical Society

Volume

148

Pages

4597-4614

No. of pages

18

ISSN

0002-9939

Publication date

11.2020

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

General Mathematics, Applied Mathematics

Electronic version(s)

https://doi.org/10.1090/proc/15143 (Access: Closed)