Abelian extensions and solvable loops.
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Publication:2258459
DOI10.1007/s00025-014-0382-6zbMath1334.20068arXiv1509.05733OpenAlexW2087166148MaRDI QIDQ2258459
Petr Vojtěchovský, David Stanovský
Publication date: 26 February 2015
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.05733
central extensionsAbelian extensionsvarieties of loopssolvable loopsnilpotent loopsAbelian normal subloopscommutator theory for loops
Related Items (8)
Topological loops with decomposable solvable multiplication groups ⋮ Extensions and tangent prolongations of differentiable loops ⋮ On abelian-by-cyclic Moufang loops ⋮ Abelian congruences and solvability in Moufang loops ⋮ Three concepts of nilpotence in loops ⋮ Commutator theory for racks and quandles ⋮ Topological loops having solvable indecomposable Lie groups as their multiplication groups ⋮ Inverse property of nonassociative abelian extensions
Uses Software
Cites Work
- Commutator theory for loops.
- Some applications of higher commutators in Mal'cev algebras
- Loops whose inner mappings are automorphisms
- Abelian inner mappings and nilpotency class greater than two.
- Mal'cev varieties
- Circuits and expressions with nonassociative gates
- Solvable groups and loops
- On the multiplication group of a loop
- The structure of automorphic loops
- Small loops of nilpotency class 3 with commutative inner mapping groups
- Connected transversals to nilpotent groups
- FINITE LOOPS WITH NILPOTENT INNER MAPPING GROUPS ARE CENTRALLY NILPOTENT
- Loops with Abelian Inner Mapping Groups: An Application of Automated Deduction
- A Property of Finite Simple Non-Abelian Groups
- Computing with small quasigroups and loops
- Contributions to the Theory of Loops
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