BUCHSTEINER LOOPS
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Publication:3406722
DOI10.1142/S0218196709005482zbMath1198.20062arXiv0708.2358OpenAlexW3037137092MaRDI QIDQ3406722
Aleš Drápal, Piroska Csörgő, Michael K. Kinyon
Publication date: 19 February 2010
Published in: International Journal of Algebra and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0708.2358
Related Items
Every Moufang loop of odd order has nontrivial nucleus ⋮ A characterization of nilpotent Moufang loops of odd order ⋮ Cycle structure of autotopisms of quasigroups and latin squares ⋮ Characterization of Moufang loops whose commutant is a normal subloop ⋮ Every Moufang loop of odd order with nontrivial commutant has nontrivial center. ⋮ On Moufang loops that are abelian groups over the nucleus ⋮ Nuclear Identification of Some New Loop Identities of Length Five ⋮ On loop identities that can be obtained by a nuclear identification. ⋮ Buchsteiner loops: Associators and constructions ⋮ On Centrally and Nuclearly Nilpotent Moufang Loops ⋮ Normality, nuclear squares and Osborn identities ⋮ On Doro’s conjecture for finite Moufang loops
Cites Work
- Construction and properties of \((r,s,t)\)-inverse quasigroups. II.
- Loops with the weak inverse property
- On extraspecial left conjugacy closed loops.
- Abelian inner mappings and nilpotency class greater than two.
- Conjugacy closed loops and their multiplication groups.
- On left conjugacy closed loops with a nucleus of index two.
- Construction and properties of \((r,s,t)\)-inverse quasigroups. I.
- On maps \(x \to x^ n\) and the isotopy-isomorphy property of Moufang loops
- Left conjugacy closed loops of nilpotency class two.
- Diassociativity in Conjugacy Closed Loops
- A Class of Loops Which are Isomorphic to all Loop Isotopes
- The structure of conjugacy closed loops
- Structural interactions of conjugacy closed loops
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