On finite groups with a reducible permutability-graph

DOI10.1007/BF01759389zbMath0872.20021OpenAlexW2089602104MaRDI QIDQ678141

Libero Verardi, Anna Gillio Berta Mauri

Publication date: 14 August 1997

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01759389

zbMATH Keywords

finite groupsnilpotent reducible w.r.p. groupsnumbers of connected componentspermutability graphspermutability rankspermutability relations

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Series and lattices of subgroups (20D30) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Products of subgroups of abstract finite groups (20D40)

Related Items (5)

PLANARITY OF PERMUTABILITY GRAPHS OF SUBGROUPS OF GROUPS ⋮ Finite groups with regular join graph of subgroups ⋮ Classification of Finite Groups with Toroidal or Projective-Planar Permutability Graphs ⋮ Permutability graphs of subgroups of some finite non-abelian groups ⋮ On permutability graphs of subgroups of groups

Cites Work

• Finite groups and subgroup-permutability
• Generalized Dedekind groups
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