Abelian quotients and orbit sizes of linear groups

DOI10.1007/s11425-018-9460-2zbMath1472.20021arXiv1407.6436OpenAlexW1533894016WikidataQ128592782 ScholiaQ128592782MaRDI QIDQ2193952

Thomas Michael Keller, Yong Yang

Publication date: 25 August 2020

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.6436

zbMATH Keywords

linear groupsabelian quotientsorbits of group actions

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Ordinary representations and characters (20C15) Modular representations and characters (20C20) Automorphisms of abstract finite groups (20D45)

Related Items

Abelian quotient of subgroups of solvable linear groups, Orbit sizes and the central product group of order 16, Bounding the even abelian composition factors in finite linear groups, Linear group actions with at most three orbits of the largest size, On the odd order composition factors of finite linear groups, Orbit sizes and the dihedral group of order eight, On class 2 quotients of linear groups, Bounding the orders of nilpotent subgroups of solvable linear groups

Uses Software

• GAP

Cites Work

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