Three concepts of nilpotence in loops

DOI10.1007/s00025-023-01882-xOpenAlexW4362700448MaRDI QIDQ2701324

David Stanovský, Žaneta Semanišinová

Publication date: 28 April 2023

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.13490

zbMATH Keywords

loopsnilpotencemultiplication groups of loopssupernilpotence

Mathematics Subject Classification ID

Nilpotent groups (20F18) Loops, quasigroups (20N05)

Uses Software

• LOOPS

Cites Work

• A relational description of higher commutators in Mal'cev varieties
• Commutator theory for loops.
• Some applications of higher commutators in Mal'cev algebras
• A concrete ideal multiplication for algebraic systems and its relation to congruence distributivity
• Mal'cev varieties
• Higher commutator theory for congruence modular varieties
• Abelian extensions and solvable loops.
• On loops of odd order. II
• Nilpotence of finite Moufang 2-loops
• On the multiplication group of a loop
• Complexity of term representations of finitary functions
• EVERY (k + 1)-AFFINE COMPLETE NILPOTENT GROUP OF CLASS k IS AFFINE COMPLETE
• Contributions to the Theory of Loops
• Congruence modular varieties with small free spectra
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item