On finite groups with nine centralizers

zbMath1296.20025arXiv1311.6201MaRDI QIDQ5169844

Sekhar Jyoti Baishya

Publication date: 14 July 2014

Full work available at URL: https://arxiv.org/abs/1311.6201

zbMATH Keywords

finite groupsnumbers of centralizersgroups of odd orderprimitive \(n\)-centralizer groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07) Special subgroups (Frattini, Fitting, etc.) (20D25)

Related Items (16)

Centralizers in a group whose central factor is simple ⋮ Unnamed Item ⋮ Counting centralizers and z-classes of some F-groups ⋮ On finite groups with nine centralizers ⋮ Unnamed Item ⋮ A note on the number of centralizers in finite AC-groups ⋮ On groups with same number of centralizers ⋮ On capable groups of order p2q ⋮ The commuting conjugacy class graphs of finite groups with a given property ⋮ Characterization and commuting probability of n-centralizer finite rings ⋮ Counting the number of centralizers of 2-element subsets in a finite group ⋮ Revisiting the Leinster groups. ⋮ A characterization of 4-centralizer groups. ⋮ On finite groups with a given number of exterior centralizers ⋮ Groups with exactly ten centralizers ⋮ On 10-centralizer groups of odd order.

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