On the multiplicity of character degrees of nonsolvable groups-Reference-Cited by-同舟云学术

On the multiplicity of character degrees of nonsolvable groups

Published:2020-02-27 Issue:05 Volume:20 Page:2150076
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Sayanjali Z.¹,Akhlaghi Z.¹^ORCID,Khosravi B.¹

Affiliation:

1. Faculty of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), 15914 Tehran, Iran

Abstract

A finite group [Formula: see text] is said to be a [Formula: see text]-group for some integer [Formula: see text], if there exist two distinct nontrivial degrees [Formula: see text] such that the multiplicities of [Formula: see text] and [Formula: see text] are [Formula: see text] and [Formula: see text], respectively, and for every [Formula: see text] the multiplicity of [Formula: see text] in [Formula: see text] is trivial. In this paper, we prove that if [Formula: see text] is a nonsolvable [Formula: see text]-group, then [Formula: see text] and we determine all nonsolvable [Formula: see text]-groups.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498821500766

Reference25 articles.

1. On the Number of p-Regular Elements in Finite Simple Groups

2. Finite groups in which the degrees of the nonlinear irreducible characters are distinct

3. Finite Nonsolvable Groups in Which Only Two Nonlinear Irreducible Characters Have Equal Degrees

4. Finite Solvable Groups in Which Only Two Nonlinear Irreducible Characters Have Equal Degrees

5. Groups with Distinct Monolithic Character Degrees

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