On loops rich in automorphisms that are abelian modulo the nucleus

DOI10.1515/FORUM.2009.022zbMath1175.20057OpenAlexW2156431026MaRDI QIDQ3632757

Aleš Drápal, Piroska Csörgő

Publication date: 12 June 2009

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum.2009.022

zbMATH Keywords

Abelian groupsMoufang loopsnucleimultiplication groupsconjugacy closed loopsleft translations

Mathematics Subject Classification ID

Loops, quasigroups (20N05)

Related Items (4)

On Moufang loops that are abelian groups over the nucleus ⋮ Buchsteiner loops: Associators and constructions ⋮ Buchsteiner Loops and Conjugacy Closedness ⋮ On Centrally and Nuclearly Nilpotent Moufang Loops

Cites Work

• Power-associative, conjugacy closed loops.
• On extraspecial left conjugacy closed loops.
• On nilpotent Moufang loops with central associators.
• On left conjugacy closed loops in which the left multiplication group is normal.
• Conjugacy closed loops and their multiplication groups.
• On left conjugacy closed loops with a nucleus of index two.
• Every diassociative A-loop is Moufang
• Diassociativity in Conjugacy Closed Loops
• Some Special Conjugacy Closed Loops
• A Class of Loops Which are Isomorphic to all Loop Isotopes
• Loops as Invariant Sections in Groups, and their Geometry
• Moufang loops of class 2 and cubic forms

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