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CONNECTED COMPONENTS IN THE INVARIABLY GENERATING GRAPH OF A FINITE GROUP

Part of: Representation theory of groups Structure and classification of infinite or finite groups

Published online by Cambridge University Press:  25 March 2021

DANIELE GARZONI Open the ORCID record for DANIELE GARZONI [Opens in a new window]
DANIELE GARZONI*
Affiliation:
Dipartimento di Matematica ‘Tullio Levi-Civita’, Università degli Studi di Padova, Padova, Italy
*
e-mail: [email protected]
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Abstract

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

Keywords

connected componentsinvariably generating graph

MSC classification

Primary: 20D60: Arithmetic and combinatorial problems
Secondary: 20E45: Conjugacy classes
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 104 , Issue 3 , December 2021 , pp. 453 - 463
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Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright
© Australian Mathematical Publishing Association Inc. 2021

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