A class of finite simple Bol loops of exponent 2

DOI10.1090/S0002-9947-09-04646-7zbMath1179.20061arXiv0709.4544MaRDI QIDQ3182539

Gábor P. Nagy

Publication date: 9 October 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.4544

zbMATH Keywords

finite simple groupsAbelian groupssolvable loopsright Bol loopsfinite simple Bol loopsnonsolvable finite Bol loops

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Finite simple groups and their classification (20D05)

Related Items (8)

The Algebra of Gyrogroups: Cayley’s Theorem, Lagrange’s Theorem, and Isomorphism Theorems ⋮ Middle Bruck loops and the total multiplication group ⋮ Free Bol loops of exponent two ⋮ Bol loops and Bruck loops of order \(pq\) ⋮ UNIQUELY 2-DIVISIBLE BOL LOOPS ⋮ On the smallest simple, unipotent Bol loop. ⋮ Simple right conjugacy closed loops ⋮ On the isotopic characterizations of generalized Bol loops

Uses Software

• GAP

Cites Work

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• On Bol loops of exponent 2.
• Theory of K-loops
• On the extension of involutorial Bol loops
• Geometry of kinematic \(K\)-loops
• A class of simple proper Bol loops.
• Finite Bruck loops
• On the structure and number of small Frattini Bol 2-loops
• Finite Bol loops
• The Modular Permutation Representations of the Known Doubly Transitive Groups
• Solvability of universal bol 2-loops
• Endomorphisms of linear algebraic groups
• Endliche Gruppen I

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