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On class 2 quotients of linear groups

Part of: Representation theory of groups

Published online by Cambridge University Press:  09 June 2021

Yong Yang
Yong Yang*
Affiliation:
Department of Mathematics, Texas State University, San Marcos, TX78666, USA (yang@txstate.edu)
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Abstract

In this paper, we study the relation of the size of the class two quotients of a linear group and the size of the vector space. We answer a question raised in Keller and Yang [Class 2 quotients of solvable linear groups, J. Algebra 509 (2018), 386-396].

Keywords

Finite linear groupclass 2 groupvector space

MSC classification

Primary: 20C15: Ordinary representations and characters 20C20: Modular representations and characters 20D10: Solvable groups, theory of formations, Schunck classes, Fitting classes, $pi$-length, ranks 20D15: Nilpotent groups, $p$-groups
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 64 , Issue 3 , August 2021 , pp. 590 - 593
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Copyright
Copyright © The Author(s) 2021. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society

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References

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