Conjugacy classes of completely reducible cube-free solvable p'-subgroups of GL(2, q)

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Auteurs principaux: Kumar, Prashun, Venkataraman, Geetha
Format: Preprint
Publié: 2024
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author Kumar, Prashun
Venkataraman, Geetha
author_facet Kumar, Prashun
Venkataraman, Geetha
contents Let m be a cube-free positive integer and let p be a prime such that p does not divide m. In this paper we find the number of conjugacy classes of completely reducible solvable cube-free subgroups in GL(2, q) of order m, where q is a power of p.
format Preprint
id arxiv_https___arxiv_org_abs_2409_08571
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Conjugacy classes of completely reducible cube-free solvable p'-subgroups of GL(2, q)
Kumar, Prashun
Venkataraman, Geetha
Group Theory
20E34, 20E45, 20F16, 20H30
Let m be a cube-free positive integer and let p be a prime such that p does not divide m. In this paper we find the number of conjugacy classes of completely reducible solvable cube-free subgroups in GL(2, q) of order m, where q is a power of p.
title Conjugacy classes of completely reducible cube-free solvable p'-subgroups of GL(2, q)
topic Group Theory
20E34, 20E45, 20F16, 20H30
url https://arxiv.org/abs/2409.08571