PLANARITY OF PERMUTABILITY GRAPHS OF SUBGROUPS OF GROUPS
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Publication:5414199
DOI10.1142/S0219498813501120zbMath1287.05060MaRDI QIDQ5414199
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Publication date: 2 May 2014
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite abelian groups (20K01) Products of subgroups of abstract finite groups (20D40) Subgroups of abelian groups (20K27)
Related Items (10)
Factorization number and subgroup commutativity degree via spectral invariants ⋮ Planarity and fixing number of inclusion graph of a nilpotent group ⋮ Characterization of groups with planar, toroidal or projective planar (proper) reduced power graphs ⋮ Non-permutability graph of subgroups ⋮ The complement of proper power graphs of finite groups ⋮ Planarity of the intersection graph of subgroups of a finite group ⋮ Unnamed Item ⋮ 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
- Unnamed Item
- The power graph of a finite group
- Planar groups
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- Some problems on Cayley graphs
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- Finite groups and subgroup-permutability
- Planar subgroup lattices.
- Finite groups with planar subgroup lattices.
- Non-commuting graph of a group.
- The connectivity of commuting graphs
- On a Graph Related to Conjugacy Classes of Groups
- Nonsolvable finite groups all of whose local subgroups are solvable
- Subgroup-permutability and affine planes
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