Cyclic complements and skew morphisms of groups.

DOI10.1016/j.jalgebra.2015.12.024zbMath1338.20019OpenAlexW2285144014MaRDI QIDQ5965112

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Publication date: 2 March 2016

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2015.12.024

zbMATH Keywords

finite groupsautomorphismsfinite Abelian groupsproducts of subgroupscomplementary subgroupsfactorisationsorders of skew morphisms

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite abelian groups (20K01) Automorphisms of infinite groups (20E36) Products of subgroups of abstract finite groups (20D40) Group actions on combinatorial structures (05E18)

Related Items (16)

On the direct products of skew-morphisms ⋮ On the skew-morphisms of dihedral groups ⋮ On even-closed regular embeddings of graphs ⋮ Skew-morphisms of cyclic \(p\)-groups ⋮ Quotients of skew morphisms of cyclic groups ⋮ Regular Cayley maps of elementary abelian \(p\)-groups: classification and enumeration ⋮ Reflexible complete regular dessins and antibalanced skew morphisms of cyclic groups ⋮ A classification of skew morphisms of dihedral groups ⋮ Skew-morphisms of nonabelian characteristically simple groups ⋮ Regular Cayley maps for dihedral groups ⋮ Smooth skew morphisms of the dihedral groups ⋮ Skew-morphisms of cyclic 2-groups ⋮ Complete regular dessins and skew-morphisms of cyclic groups ⋮ Smooth skew morphisms of dicyclic groups ⋮ Skew product groups for monolithic groups ⋮ Classification of skew morphisms of cyclic groups which are square roots of automorphisms

Uses Software

• Magma

Cites Work

• On \(G\)-arc-regular dihedrants and regular dihedral maps
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• Cayley maps
• Über die Auflösbarkeit faktorisierbarer Gruppen
• Über das Produkt von zwei abelschen Gruppen
• Large cyclic subgroups contain non-trivial normal subgroups
• Decomposition of skew-morphisms of cyclic groups
• ON AUTOMORPHISMS OF FINITE GROUPS
• Regular Cayley maps for cyclic groups

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