On \(p\)-groups as loop groups

DOI10.1007/BF01258048zbMath0783.20037MaRDI QIDQ689661

Ari Vesanen

Publication date: 15 November 1993

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

nilpotent groupsloop groupsmultiplication groupsconnected transversalsnon- commutative loop \(p\)-groups of minimal orderSylow \(p\)-subgroups of symmetric groups

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Finite nilpotent groups, (p)-groups (20D15) Subgroups of symmetric groups (20B35)

Related Items

On loops which have dihedral 2-groups as inner mapping groups, On the structure of the inner mapping groups of loops, SUPERNILPOTENCE PREVENTS DUALIZABILITY

Cites Work

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• On multiplication groups of loops
• Sur des groupes isomorphes au groupe de multiplication d'une boucle.
• On Connected Transversals to Abelian Subgroups in Finite Groups
• Endliche Gruppen I
• Contributions to the Theory of Loops