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Buchsteiner loops: Associators and constructions

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Publication:4983041
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DOI10.1142/S0219498815500504zbMath1318.20058arXiv0812.0412OpenAlexW2962891579MaRDI QIDQ4983041

Aleš Drápal, Michael K. Kinyon

Publication date: 14 April 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.0412

zbMATH Keywords

associatorsconjugacy closed loopsBuchsteiner loopsAbelian inner mapping groups


Mathematics Subject Classification ID

Loops, quasigroups (20N05)


Related Items

Loops with Abelian Inner Mapping Groups: An Application of Automated Deduction, Moufang loops with commuting inner mappings.



Cites Work

  • On loop identities that can be obtained by a nuclear identification.
  • Power-associative, conjugacy closed loops.
  • Abelian inner mappings and nilpotency class greater than two.
  • On connected transversals to Abelian subgroups and loop theoretical consequences.
  • Left conjugacy closed loops of nilpotency class two.
  • Diassociativity in Conjugacy Closed Loops
  • Buchsteiner Loops and Conjugacy Closedness
  • BUCHSTEINER LOOPS
  • On loops rich in automorphisms that are abelian modulo the nucleus
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