On twisted subgroups and Bol loops of odd order.

DOI10.1216/rmjm/1181069494zbMath1136.20053arXivmath/0208231OpenAlexW2038873778MaRDI QIDQ2477816

Yanyan Li

Publication date: 14 March 2008

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0208231

zbMATH Keywords

twisted subgroupsFeit-Thompson theoremfinite Bol loops of odd orderfinite Moufang loops of odd orderleft inner mappings

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25) Automorphisms of abstract finite groups (20D45) Loops, quasigroups (20N05)

Related Items

Half-automorphism group of a class of Bol loops, Incidence properties of cosets in loops, Bruck Loops with Abelian Inner Mapping Groups, The Algebra of Gyrogroups: Cayley’s Theorem, Lagrange’s Theorem, and Isomorphism Theorems, Free Bol loops of exponent two, Isostrophy Bryant-Schneider Group-Invariant of Bol Loops, On commutator-inversion invariant groups and gyrogroup construction, Bol loops and Bruck loops of order \(pq\), A Class of Loops Categorically Isomorphic to Bruck Loops of Odd Order, On Bruck loops of 2-power exponent., Symmetric sets with midpoints and algebraically equivalent theories, Involutive groups, unique 2-divisibility, and related gyrogroup structures, Means on dyadic symmetric sets and polar decompositions, On Bol loops of exponent 2., UNIQUELY 2-DIVISIBLE BOL LOOPS, Parametrization of generalized Heisenberg groups, A class of simple proper Bol loops., The structure of commutative automorphic loops, The structure of automorphic loops, Palindromes and pseudo-involution multiplication, Embedding of locally compact Hausdorff topological gyrogroups in topological groups, Lagrange's theorem for Hom-groups, Palindromes in finite groups and the Explorer-Director game, On the isotopic characterizations of generalized Bol loops

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