Classification of Finite Groups with Toroidal or Projective-Planar Permutability Graphs

DOI10.1080/00927872.2015.1087004zbMath1343.05080arXiv1505.03462OpenAlexW2102789093MaRDI QIDQ2817183

No author found.

Publication date: 29 August 2016

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

Full work available at URL: https://arxiv.org/abs/1505.03462

zbMATH Keywords

finite groupsgenustoroidal graphnonorientable genusprojective-planar graphpermutability graph

Mathematics Subject Classification ID

General structure theorems for groups (20E34) Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Topological methods in group theory (57M07)

Related Items

Characterization of groups with planar, toroidal or projective planar (proper) reduced power graphs ⋮ The complement of proper power graphs of finite groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The power graph of a finite group
• On finite groups with a reducible permutability-graph
• Simple connectivity of \(p\)-group complexes
• Rings whose total graphs have genus at most one
• Zero-divisor graphs of genus one
• Classification of rings with projective zero-divisor graphs
• The obstructions for toroidal graphs with no \(K_{3,3}\)'s
• Prime graph components of finite groups
• 103 graphs that are irreducible for the projective plane
• Finite groups and subgroup-permutability
• Finite groups with planar subgroup lattices.
• Non-commuting graph of a group.
• Graphs, Algorithms, and Optimization
• On permutability graphs of subgroups of groups
• PLANARITY OF PERMUTABILITY GRAPHS OF SUBGROUPS OF GROUPS
• Nonsolvable finite groups all of whose local subgroups are solvable
• Subgroup-permutability and affine planes