Coprime commutators in \(\mathrm{PSL}(2,q)\).

DOI10.1007/s00013-012-0465-0zbMath1294.20015arXiv1209.6377OpenAlexW2001404653MaRDI QIDQ1934250

Marco Antonio Pellegrini, P. V. Shumyatskij

Publication date: 28 January 2013

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.6377

zbMATH Keywords

finite simple groupsinvolutionscoprime commutatorsOre conjecture

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06) Commutator calculus (20F12)

Related Items (4)

On finite groups in which coprime commutators are covered by few cyclic subgroups. ⋮ CONCISENESS OF COPRIME COMMUTATORS IN FINITE GROUPS ⋮ Coprime commutators in finite groups ⋮ COPRIME COMMUTATORS IN THE SUZUKI GROUPS

Uses Software

• Magma

Cites Work

• Unnamed Item
• Cosets of Sylow \(p\)-subgroups and a question of Richard Taylor.
• Commutators of elements of coprime orders in finite groups.
• The Ore conjecture.
• The Magma algebra system. I: The user language
• On a question of L. J. Pagige
• Real and strongly real classes in SL n (q)
• Real conjugacy classes in algebraic groups and finite groups of Lie type
• Primary cyclotomic units and a proof of Catalans conjecture
• Endliche Gruppen I

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