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On a theorem of N. Ito on factorizable groups

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Publication:754293
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DOI10.1007/BF01226045zbMath0416.20017MaRDI QIDQ754293

Zvi Arad, David Chillag

Publication date: 1978

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


zbMATH Keywords

Frobenius groupfactorizable groupstransitive permutation groupFermat prime3-step group of odd orderCc-subgroupCpp-groupsolvable Hall p'-subgroup


Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25) Products of subgroups of abstract finite groups (20D40) Multiply transitive finite groups (20B20)


Related Items

On finite factorizable groups, On the product of two finite solvable groups, Finite groups, Finite groups with conditions on the centralizeps of π-elements, A proof of Szep's conjecture on nonsimplicity of certain finite groups



Cites Work

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  • \({\mathfrak F}\)-sets and permutation groups
  • Doubly transitive groups of odd degree whose one point stabilizers are local
  • A sufficient condition on centralizers for a finite group to contain a proper CCT subgroup
  • On finite groups containing a CC-subgroup
  • Finite groups with conditions on the centralizeps of π-elements
  • Endliche Gruppen I
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