ON NONCOMMUTING SETS AND CENTRALISERS IN INFINITE GROUPS
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Publication:2786576
DOI10.1017/S0004972715000696zbMath1336.20046arXiv1412.4349MaRDI QIDQ2786576
Publication date: 15 February 2016
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.4349
combinatorial conditions on subsets of groups\(n\)-centraliser groupssets of pairwise noncommuting elements of groups
Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07) General structure theorems for groups (20E34) Special aspects of infinite or finite groups (20F99)
Related Items (12)
Centralizers in a group whose central factor is simple ⋮ Characterizations of some groups in terms of centralizers ⋮ Counting centralizers and z-classes of some F-groups ⋮ Abelian covers and non-commuting sets in a non-abelian \(p\)-group which its central quotient is metacyclic ⋮ On solubility of groups with finitely many centralizers ⋮ The clique number of the intersection graph of a finite group ⋮ On groups with same number of centralizers ⋮ Groups in which the centralizer of any non-central element is maximal ⋮ Groups with exactly ten centralizers ⋮ A generalization of Neumann's question ⋮ Finite groups determined by the number of element centralizers ⋮ Groups with the same number of centralizers
Cites Work
- Criteria for the solubility of finite groups by their centralizers.
- On element-centralizers in finite groups.
- On non-commuting sets in finite soluble CC-groups.
- On the Clique Numbers of Non-commuting Graphs of Certain Groups
- The Number of Pairwise Non-Commuting Elements and the Index of the Centre in a Finite Group
- On Finite Groups with a Given Number of Centralizers
- On non-commuting sets in an extraspecial p-group
- Derived length and centralizers of groups
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