CONNECTED COMPONENTS IN THE INVARIABLY GENERATING GRAPH OF A FINITE GROUP-Reference-Cited by-同舟云学术

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CONNECTED COMPONENTS IN THE INVARIABLY GENERATING GRAPH OF A FINITE GROUP

Published:2021-03-25 Issue:3 Volume:104 Page:453-463
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Aust. Math. Soc.

Author:

GARZONI DANIELE^ORCID

Abstract

AbstractWe prove that the invariably generating graph of a finite group can have an arbitrarily large number of connected components with at least two vertices.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference29 articles.

1. Connectivity of generating graphs of nilpotent groups

2. [20] Garzoni, D. and McKemmie, E. , ‘On the probability of generating invariably a finite simple group’, Preprint, 2020, arXiv:2008.03812.

3. Some results and questions related to the generating graph of a finite group

4. The Maximal Subgroups of the Low-Dimensional Finite Classical Groups

5. Minimal invariable generating sets

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Introduction;Lecture Notes in Mathematics;2024

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