Schreier loops
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Publication:3624917
DOI10.1007/s10587-008-0050-7zbMath1166.20058OpenAlexW3190183840MaRDI QIDQ3624917
Publication date: 6 May 2009
Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/37867
central extensionsextensions of loopsnon-associative extensions of groupsweak associativity properties of extensions
Related Items (14)
Moufang's theorem for non-Moufang loops ⋮ Right Nuclei of Quasigroup Extensions ⋮ Our friend and mathematician Karl Strambach ⋮ Extensions and tangent prolongations of differentiable loops ⋮ Oriented Steiner loops. ⋮ Steiner loops of affine type ⋮ Multiplicative loops of quasifields having complex numbers as kernel ⋮ Extensions of groups by weighted Steiner loops. ⋮ Code loops in both parities ⋮ Topological loops having solvable indecomposable Lie groups as their multiplication groups ⋮ On loop extensions satisfying one single identity and cohomology of loops ⋮ Nuclear properties of loop extensions ⋮ Inverse property of nonassociative abelian extensions ⋮ Oriented Steiner quasigroups
Cites Work
- Loops which are semidirect products of groups.
- A generalization of Moufang and Steiner loops.
- A new construction of Bol loops of order \(8k\).
- Left conjugacy closed loops of nilpotency class two.
- 3-dimensional Bol loops as sections in non-solvable Lie groups
- C-LOOPS: EXTENSIONS AND CONSTRUCTIONS
- $3$-dimensional Bol loops corresponding to solvable Lie triple systems
- Is a Semidirect Product of Groups Necessarily a Group?
- Loops which are semidirect products of groups
- Moufang Loops of Small Order. I
- Algebraic commutative Moufang loops
- 3-dimensional loops on non-solvable reductive spaces
- When is the commutant of a Bol loop a subloop?
- Loops in group theory and Lie theory
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