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Bounding the
even abelian composition factors in finite linear groups
Awildo Gutierrez, Yuqiao Huang, Duncan Peckham and Yong Yang |
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Vol. 16 (2023), No. 2, 265–276
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Abstract |
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We study the product of the orders of the even abelian composition factors of a finite linear group. We show that if is a finite group acting faithfully and completely reducibly on a vector space , then the product of the orders of the even abelian composition factors of is bounded above by a function of . |
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Keywords
linear groups, composition factors
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Mathematical Subject Classification
Primary: 20C15, 20C20
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Milestones
Received: 10 October 2021
Revised: 12 May 2022
Accepted: 18 May 2022
Published: 26 May 2023
Communicated by Kenneth S. Berenhaut
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Authors |
| Awildo Gutierrez | |
| Department of Mathematics and
Statistics Hamilton College Clinton, NY United States |
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| Yuqiao Huang | |
| Department of Mathematics University of Rochester Rochester, NY United States |
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| Duncan Peckham | |
| Department of Mathematics and
Statistics Boston University Boston, MA United States |
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| Yong Yang | |
| Department of Mathematics Texas State University San Marcos, TX United States |
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| © 2023 MSP (Mathematical Sciences Publishers). |
