On Semiregular Elements of Solvable Groups

DOI10.1080/00927871003738923zbMath1232.20004OpenAlexW2088616965MaRDI QIDQ2995346

Edward Dobson, Dragan Marušič

Publication date: 20 April 2011

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

Full work available at URL: https://doi.org/10.1080/00927871003738923

zbMATH Keywords

wreath productsCayley numbersfixed-point-free permutationstransitive permutation groupscodessemiregular elementsquasiprimitive groupsimprimitive permutation groupspolycirculant conjecturesolvable permutation groupselusive permutation groups

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Subgroups of symmetric groups (20B35) General theory for finite permutation groups (20B05) Multiply transitive finite groups (20B20)

Related Items

Cayley graphs of more than one abelian group, Cayley numbers with arbitrarily many distinct prime factors, Semiregular elements in transitive 2-closed permutation groups of certain degrees, Semiregular automorphisms in vertex-transitive graphs with a solvable group of automorphisms, On 2-closed elusive permutation groups of degrees p2q and p2qr, Semiregular automorphisms in vertex-transitive graphs of order \(3p^2\), On solvable groups and Cayley graphs, Quasi-semiregular automorphisms of cubic and tetravalent arc-transitive graphs, On normality of \(n\)-Cayley graphs

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