Conjugacy classes of affine semi-linear groups and cycle structure of the elements

We study the group structure of an affine semi-linear group. We classify the conjugacy classes of the group, and calculate the size of each conjugacy class. We also describe how an element in it acts on the vector space (the base field).

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Publication Details

Journal
Communications in Algebra
Published
2026-09-30
DOI
https://doi.org/10.1080/00927872.2026.2719878
Primary Topic
Finite Group Theory Research
Type
article
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article

Conjugacy classes of affine semi-linear groups and cycle structure of the elements

Yong Yang, Qian Yang
Communications in Algebra
Finite Group Theory Research
article

Conjugacy classes of affine semi-linear groups and cycle structure of the elements

Yong Yang, Qian Yang
article en

Abstract

We study the group structure of an affine semi-linear group. We classify the conjugacy classes of the group, and calculate the size of each conjugacy class. We also describe how an element in it acts on the vector space (the base field).

Communications in Algebra
Texas State University (US), Yili Normal University (CN)
Openalex Percentile: Top 4%
Finite Group Theory Research
DOISourceOpenAlex
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Conjugacy classes of affine semi-linear groups and cycle structure of the elements — Yong Yang, Qian Yang · Communications in Algebra (2026) | TGRS Research Map | TGRS