On the number of conjugacy classes of finite nilpotent groups.

DOI10.1016/j.aim.2011.02.021zbMath1227.20014OpenAlexW1986715921MaRDI QIDQ544005

Andrei Jaikin-Zapirain

Publication date: 14 June 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2011.02.021

zbMATH Keywords

numbers of conjugacy classesfinite \(p\)-groupsclass numbersfinite nilpotent groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Asymptotic results on counting functions for algebraic and topological structures (11N45) Finite nilpotent groups, (p)-groups (20D15)

Related Items (14)

THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY ⋮ Another criterion for supersolvability of finite groups ⋮ New criteria for solvability, nilpotency and other properties of finite groups in terms of the order elements or subgroups ⋮ The finite and solvable genus of finitely generated free and surface groups ⋮ On groups with average element orders equal to the average order of the alternating group of degree \(5\) ⋮ Some density results involving the average order of a finite group ⋮ On the cokernel of the Baumslag rationalization ⋮ The average element order and the number of conjugacy classes of finite groups ⋮ Bounds on the largest Kronecker and induced multiplicities of finite groups ⋮ A result on the number of cyclic subgroups of a finite group ⋮ Finite groups have more conjugacy classes ⋮ New lower bounds for the number of conjugacy classes in finite nilpotent groups ⋮ On the average order of a finite group ⋮ On the number of conjugacy classes of a permutation group.

Cites Work

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• Finite groups have even more conjugacy classes.
• Powerful \(p\)-groups. I: Finite groups.
• On the structure of normal subgroups of potent \(p\)-groups.
• Finite Groups Have Many Conjugacy Classes
• THE NUMBER OF CONJUGACY CLASSES OF CERTAIN FINITE GROUPS
• On the abundance of finite p-groups
• ON THE NUMBER OF CONJUGACY CLASSES IN FINITE $p$-GROUPS
• Two problems on finite groups with k conjugate classes

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