ALTERNATING AND SYMMETRIC GROUPS WITH EULERIAN GENERATING GRAPH

DOI10.1017/fms.2017.25zbMath1425.20004arXiv1705.08202OpenAlexW2962736851MaRDI QIDQ4593230

Claude Marion, Andrea Lucchini

Publication date: 22 November 2017

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.08202

zbMATH Keywords

symmetric groupEulerian graphgenerating graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Eulerian and Hamiltonian graphs (05C45) Vertex degrees (05C07) Subgroups of symmetric groups (20B35) Characterization theorems for permutation groups (20B10)

Related Items

The independence graph of a finite group

Cites Work

• Affine transformations of finite vector spaces with large orders or few cycles.
• Some applications of the first cohomology group
• Probabilistic generation of finite simple groups. II.
• A classification of the maximal subgroups of the finite alternating and symmetric groups
• Linear groups containing a Singer cycle
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• On the maximum orders of elements of finite almost simple groups and primitive permutation groups
• Generators for Simple Groups
• An O'Nan-Scott Theorem for Finite Quasiprimitive Permutation Groups and an Application to 2-Arc Transitive Graphs
• Hamiltonian cycles in the generating graphs of finite groups
• The X-Dirichlet polynomial of a finite group
• PROFINITE GROUPS WITH MULTIPLICATIVE PROBABILISTIC ZETA FUNCTION
• On the Möbius function of a finite group
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