A class of simple proper Bol loops.

DOI10.1007/s00229-008-0188-5zbMath1167.20038arXivmath/0703919OpenAlexW2032476941MaRDI QIDQ2518877

Gábor P. Nagy

Publication date: 20 January 2009

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703919

zbMATH Keywords

Moufang loopsalmost simple groupsBol loop foldersexact factorization triplesfinite simple Bol loopsleft multiplication groupssimple non-Moufang left Bol loops

Mathematics Subject Classification ID

Simple groups (20E32) Loops, quasigroups (20N05) Products of subgroups of abstract finite groups (20D40)

Related Items (10)

Matched Pairs, Permutation Representations, and the Bol Property ⋮ Bol loops and Bruck loops of order \(pq\) up to isotopism ⋮ A class of finite simple Bol loops of exponent 2 ⋮ Algebraic Bol loops ⋮ Bol loops and Bruck loops of order \(pq\) ⋮ The finite Bruck loops. ⋮ UNIQUELY 2-DIVISIBLE BOL LOOPS ⋮ On the smallest simple, unipotent Bol loop. ⋮ Subloop incompatible Bol loops ⋮ On the isotopic characterizations of generalized Bol loops

Cites Work

• On Bol loops of exponent 2.
• Factorisations of sporadic simple groups.
• Bol loops as sections in semi-simple Lie groups of small dimension
• Transitive subgroups of primitive permutation groups
• On twisted subgroups and Bol loops of odd order.
• A Class of Simple Moufang Loops
• The classification of finite simple Moufang loops
• SPLITTING AUTOMORPHISMS AND MOUFANG LOOPS
• Bol Loops
• Loops in group theory and Lie theory
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