The conjugacy diameters of non-abelian finite p-groups with cyclic maximal subgroups

The conjugacy diameters of non-abelian finite p-groups with cyclic maximal subgroups

Let $ G $ be a group. A subset $ S $ of $ G $ is said to normally generate $ G $ if $ G $ is the normal closure of $ S $ in $ G. $ In this case, any element of $ G $ can be written as a product of conjugates of elements of $ S $ and their inverses. If $ g\in G $ and $ S $ is a normally generating su...

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Bibliographic Details
Main Authors: Fawaz Aseeri, Julian Kaspczyk
Format: Article
Language:English
Published: AIMS Press 2024-03-01
Series:AIMS Mathematics
Subjects:
semidihedral group
quaternion group
modular $ p $-groups
normally generating subsets
word norm
conjugacy diameter
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2024524?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2024524?viewType=HTML

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