Skew-morphisms of cyclic \(p\)-groups

DOI10.1515/jgth-2017-0015zbMath1388.20037arXiv1511.07252OpenAlexW2963825215MaRDI QIDQ1676216

Peng Zhang

Publication date: 6 November 2017

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.07252

zbMATH Keywords

Cayley mapscyclic \(p\)-groupsskew-morphisms

Mathematics Subject Classification ID

Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40) Group actions on combinatorial structures (05E18)

Related Items (9)

On the direct products of skew-morphisms ⋮ Quotients of skew morphisms of cyclic groups ⋮ Reflexible complete regular dessins and antibalanced skew morphisms of cyclic groups ⋮ Skew-morphisms of nonabelian characteristically simple 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

Cites Work

• On the skew-morphisms of dihedral groups
• The automorphism group of a split metacyclic \(p\)-group.
• Regular Cayley maps for finite abelian groups
• Skew-morphisms of regular Cayley maps
• Half-regular Cayley maps
• Über das Produkt von paarweise vertauschbaren zyklischen Gruppen
• Powers of Skew-Morphisms
• Decomposition of skew-morphisms of cyclic groups
• Elementary Number Theory
• Regular Cayley maps for cyclic groups
• Endliche Gruppen I
• Presentations of metacyclic groups
• Regular orientable embeddings of complete bipartite graphs
• Cyclic complements and skew morphisms of groups.

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