Constructing solvable groups with derived length four and four character degrees

DOI10.5486/PMD.2019.8349zbMATH Open1438.20007arXiv1803.00616OpenAlexW2962867995WikidataQ127929932 ScholiaQ127929932MaRDI QIDQ5204899

Mark L. Lewis

Publication date: 5 December 2019

Published in: Publicationes Mathematicae Debrecen (Search for Journal in Brave)

Abstract: In this paper, we present a new method to construct solvable groups with derived length four and four character degrees. We then use this method to present a number of new families of groups with derived length four and four character degrees.

Full work available at URL: https://arxiv.org/abs/1803.00616

zbMATH Keywords

character degreessolvable groupsderived length

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10)

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