On Finite Nonabelian Loop Capable Groups

DOI10.1080/00927872.2015.1027366zbMath1342.20063OpenAlexW2296322406WikidataQ110022380 ScholiaQ110022380MaRDI QIDQ2810625

Emma Leppälä, Markku Niemenmaa

Publication date: 3 June 2016

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2015.1027366

zbMATH Keywords

finite groupstransversalsinner mapping groupsmultiplication groupsfinite loopsloop capable groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Loops, quasigroups (20N05)

Cites Work

• On finite loops with nilpotent inner mapping groups.
• On multiplication groups of loops
• Orbits of inner mapping groups
• Solvable groups and loops
• A nuclear construction of loops with small inner mapping groups.
• Solvability criteria for finite loops and groups
• FINITE LOOPS WITH NILPOTENT INNER MAPPING GROUPS ARE CENTRALLY NILPOTENT
• On the capability of groups
• A SOLVABILITY CRITERION FOR FINITE LOOPS