On Planar Eulerian Graphs and Permutations

DOI10.2307/2000413zbMath0519.20006OpenAlexW4241815063MaRDI QIDQ3669617

Gadi Moran

Publication date: 1985

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2000413

zbMATH Keywords

products of conjugacy classesinfinite symmetric groupsbicolorable maps on orientable surfacescovering number of infinite simple groupinfinite planar Eulerian graphs

Mathematics Subject Classification ID

Simple groups (20E32) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Coloring of graphs and hypergraphs (05C15) Eulerian and Hamiltonian graphs (05C45) Symmetric groups (20B30)

Related Items (7)

Cubes of Conjugacy Classes Covering the Infinite Symmetric Group ⋮ Conjugacy Classes Whose Square is an Infinite Symmetric Group ⋮ The normal subsemigroups of the monoid of injective maps. ⋮ Squares of Conjugacy Classes in the Infinite Symmetric Groups ⋮ Counting orbits of a product of permutations ⋮ Products of Involution Classes in Infinite Symmetric Groups ⋮ The products of conjugacy classes in some infinite simple groups

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