Primitive permutation groups containing a \(p\)-cycle

DOI10.1007/BF01195128zbMath0823.20001MaRDI QIDQ1893252

Thilo E. Zieschang

Publication date: 24 October 1995

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

primitive permutation groupstwo-generator groupscycle of length \(p\)

Mathematics Subject Classification ID

Finite simple groups and their classification (20D05) Primitive groups (20B15)

Related Items (5)

Groups with a \(p\)-element acting with a single non-trivial Jordan block on a simple module in characteristic \(p\) ⋮ Reduced fusion systems over \(p\)-groups with abelian subgroup of index \(p\). II ⋮ Adequate subgroups and indecomposable modules ⋮ Permutations which make transitive groups primitive. ⋮ Recognizing \(\mathrm{PSL}(2,p)\) in the non-Frattini chief factors of finite groups.

Cites Work

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• Groups generated by two \(p\)-cycles
• Normal subgroups of triply-transitive permutation groups of odd degree
• The primitive permutation groups of degree less than 1000
• Finite Permutation Groups and Finite Simple Groups
• Endliche Gruppen I
• On a class of doubly transitive permutation groups

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