The structure of automorphic loops
From MaRDI portal
Publication:2822724
DOI10.1090/tran/6622zbMath1359.20038arXiv1210.1642OpenAlexW1536916848MaRDI QIDQ2822724
No author found.
Publication date: 4 October 2016
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1210.1642
Lie ringCauchy theoremprimitive groupodd order theoremLagrange theoremBruck loopinner mappingautomorphic loopdihedral automorphic loopmiddle nuclear extensionsimple automorphic loopsolvable loop
Related Items (13)
Bol loops and Bruck loops of order \(pq\) up to isotopism ⋮ Lie's correspondence for commutative automorphic formal loops ⋮ Commutator theory for loops. ⋮ Half-isomorphisms of automorphic loops ⋮ Nilpotency in automorphic loops of prime power order. ⋮ Half-isomorphisms of Moufang loops. ⋮ Lie automorphic loops under half-automorphisms ⋮ Abelian extensions and solvable loops. ⋮ Half-isomorphisms of dihedral automorphic loops ⋮ Nuclear properties of loop extensions ⋮ Enumeration of involutory latin quandles, Bruck loops and commutative automorphic loops of odd prime power order ⋮ Basarab loop and the generators of its total multiplication group ⋮ On the structure of the automorphism group of certain automorphic loop
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nilpotency in automorphic loops of prime power order.
- Multiplication groups of commutative automorphic \(p\)-loops of odd order are \(p\)-groups.
- Loops whose inner mappings are automorphisms
- All finite automorphic loops have the elementwise Lagrange property.
- On twisted subgroups and Bol loops of odd order.
- Nilpotency conditions for finite loops
- On loops of odd order. II
- On the multiplication group of a loop
- On loops of odd order
- Every diassociative A-loop is Moufang
- Constructions of Commutative Automorphic Loops
- The structure of commutative automorphic loops
- Searching for small simple automorphic loops
- Solvability of commutative automorphic loops
- A Theorem on A-Loops
- Modified Edgeworth and Cornish-Fisher Expansions with Unknown Cumulants and no Singularities
- Finite Bol loops
- COMMUTATIVE AUTOMORPHIC LOOPS OF ORDER p3
- ALL AUTOMORPHIC LOOPS OF ORDER p2 FOR SOME PRIME p ARE ASSOCIATIVE
- Quasigroups. I
This page was built for publication: The structure of automorphic loops