The non-commuting, non-generating graph of a non-simple group
From MaRDI portal
Publication:6119503
DOI10.5802/alco.305arXiv2211.08869MaRDI QIDQ6119503
Publication date: 1 March 2024
Published in: Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.08869
Arithmetic and combinatorial problems involving abstract finite groups (20D60) Solvable groups, supersolvable groups (20F16) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Probabilistic generation of finite simple groups. II.
- Transitive linear groups and linear groups which contain irreducible subgroups of prime order
- The Magma algebra system. I: The user language
- Simple groups, probabilistic methods, and a conjecture of Kantor and Lubotzky
- The non-isolated vertices in the generating graph of a direct powers of simple groups.
- The non-commuting, non-generating graph of a nilpotent group
- A classification of primitive permutation groups with finite stabilizers.
- On the structure of the power graph and the enhanced power graph of a group
- The diameter of the generating graph of a finite soluble group
- Non-commuting graph of a group.
- Contributions to the theory of groups of finite order
- The spread of a finite group
- The groups of order at most 2000
- A Remark on Finite Groups
- ON A GRAPH RELATED TO THE MAXIMAL SUBGROUPS OF A GROUP
- ON THE GENERATING GRAPH OF A SIMPLE GROUP
- On the spread of infinite groups
- Graphs defined on groups
- A note on the R∞ property for groups FAlt(X)⩽G⩽Sym(X)
- On a class of doubly transitive groups
This page was built for publication: The non-commuting, non-generating graph of a non-simple group