Permutation Groups Containing a Regular Abelian Hall Subgroup

DOI10.1080/00927872.2011.590956zbMath1273.20004OpenAlexW2047684990MaRDI QIDQ3145449

Cai Heng Li, Pablo Spiga, Edward Dobson

Publication date: 20 December 2012

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.590956

zbMATH Keywords

Hall subgroupsfinite permutation groupstransitive permutation groupsregular subgroups

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) General theory for finite permutation groups (20B05) Characterization theorems for permutation groups (20B10)

Related Items (1)

Finite permutation groups containing a transitive abelian subgroup

Cites Work

• Point-symmetric graphs and digraphs of prime order and transitive permutation groups of prime degree
• Vertex-transitive self-complementary uniform hypergraphs of prime order
• Transitive permutation groups of prime-squared degree
• On groups of odd prime-power degree that contain a full cycle
• Automorphism Groups of Metacirculant Graphs of Order a Product of Two Distinct Primes
• ABELIAN SUBGROUPS OF SIMPLY PRIMITIVE GROUPS OF DEGREE p³, WHERE p IS PRIME
• The Finite Primitive Permutation Groups Containing an Abelian Regular Subgroup
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