Equalities on the number of conjugacy classes of the Sylow \(p\)-subgroups of \(GL(n,q)\).

DOI10.1007/s11856-016-1353-2zbMath1348.20057OpenAlexW2566554273MaRDI QIDQ312308

Leyre Ormaetxea, Olga Basova, Jesus Maria Arregi, Francisco José Vera López, Antonio Vera-López

Publication date: 15 September 2016

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-016-1353-2

zbMATH Keywords

numbers of conjugacy classesSylow subgroupsgroups of upper unitriangular matrices

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Linear algebraic groups over finite fields (20G40) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Cites Work

• Unnamed Item
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• Conjugacy classes in unitriangular matrices.
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• Enumerating p -Groups. I: Inequalities
• Conjugacy classes in Sylow p-subgroups of GL(n,q), II
• Conjugacy classes in sylow p-subgroups of GL(n, q), IV
• On the number of conjugacy classes of the sylow p-subgroups of GL(n,q)
• Enumerating p -Groups
• Endliche Gruppen I
• Sylow p-Subgroups of the General Linear Group Over Finite Fields of Characteristic p

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