K3,3-free intersection graphs of finite groups

DOI10.1080/00927872.2016.1233209zbMath1388.20035arXiv1512.05113OpenAlexW2963277406MaRDI QIDQ5274843

Selçuk Kayacan

Publication date: 6 July 2017

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

Full work available at URL: https://arxiv.org/abs/1512.05113

zbMATH Keywords

subgroupfinite groupsintersection graph

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite nilpotent groups, (p)-groups (20D15)

Related Items

SOME RESULTS ON THE COMPLEMENT OF THE INTERSECTION GRAPH OF SUBGROUPS OF A FINITE GROUP ⋮ Planarity and fixing number of inclusion graph of a nilpotent group ⋮ Finite groups with star-free noncyclic graphs ⋮ Characterization of some families of simple groups by their intersection graphs ⋮ Characterization by intersection graph of some families of finite nonsimple groups

Cites Work

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• Normalizers of the Sylow 2-subgroups in finite simple groups.
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• FINITE GROUPS WHOSE INTERSECTION GRAPHS ARE PLANAR
• Nonsolvable finite groups all of whose local subgroups are solvable