Finite groups determined by the number of element centralizers
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Publication:4977643
DOI10.1080/00927872.2016.1246664zbMath1370.20024OpenAlexW2549883267MaRDI QIDQ4977643
H. Rostami, Mohsen Amiri, Seyyed Majid Jafarian Amiri
Publication date: 16 August 2017
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927872.2016.1246664
Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07)
Related Items (9)
Centralizers in a group whose central factor is simple ⋮ A note on the number of centralizers in finite AC-groups ⋮ Groups in which the centralizer of any non-central element is maximal ⋮ On capable groups of order p2q ⋮ Finite groups in which the centralizer of every noncentral element of odd order is abelian ⋮ Groups with exactly ten centralizers ⋮ On the centralizers of the \(p\)-regular elements in a finite group ⋮ On groups covered by finitely many centralizers and domination number of the commuting graphs ⋮ Groups with the same number of centralizers
Cites Work
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- On non-commuting sets in an extraspecial p-group
- FINITE GROUPS WHOSE NONCENTRAL COMMUTING ELEMENTS HAVE CENTRALIZERS OF EQUAL SIZE
- Derived length and centralizers of groups
- On 9-centralizer groups
- Nonsolvable finite groups all of whose local subgroups are solvable
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