A reduction theorem for simple groups withe(G) = 3

This paper highlights the use of transfer to analyze an unbalancing configuration in the GLS classification project for finite simple groups.The configuration occurs when e(G) = 3, m 2, p (G) = m p (G) = 3 for some odd prime p, and a p-component of p-rank 1 is responsible for the unbalancing.

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Publication Details

Journal
Pacific Journal of Mathematics
Published
2025-05-26
DOI
https://doi.org/10.2140/pjm.2025.336.351
Primary Topic
Finite Group Theory Research
Type
article
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article

A reduction theorem for simple groups withe(G) = 3

Richard K. Lyons, Ronald Solomon
Pacific Journal of Mathematics
Finite Group Theory Research
article

A reduction theorem for simple groups withe(G) = 3

Richard K. Lyons, Ronald Solomon
article en

Abstract

This paper highlights the use of transfer to analyze an unbalancing configuration in the GLS classification project for finite simple groups.The configuration occurs when e(G) = 3, m 2, p (G) = m p (G) = 3 for some odd prime p, and a p-component of p-rank 1 is responsible for the unbalancing.

Pacific Journal of MathematicsVol. 336(1-2)
Rutgers, The State University of New Jersey (US), The Ohio State University (US)
Openalex Percentile: Top 83%
Finite Group Theory Research
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A reduction theorem for simple groups withe(G) = 3 — Richard K. Lyons, Ronald Solomon · Pacific Journal of Mathematics (2025) | TGRS Research Map | TGRS