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COPRIME COMMUTATORS IN THE SUZUKI GROUPS $^{\textbf{2}}{\boldsymbol{B}}_{\textbf{2}}\boldsymbol{(q)}$

Part of: Representation theory of groups Special aspects of infinite or finite groups

Published online by Cambridge University Press:  20 January 2021

GIOVANNI ZINI Open the ORCID record for GIOVANNI ZINI [Opens in a new window]
GIOVANNI ZINI*
Affiliation:
Dipartimento di Matematica e Fisica, Università degli Studi della Campania ‘Luigi Vanvitelli’, viale Lincoln 5, 81100 Caserta, Italy
*
e-mail: giovanni.zini@unicampania.it
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Abstract

In this note we show that every element of a simple Suzuki group $^2B_2(q)$ is a commutator of elements of coprime orders.

Keywords

coprime commutatorinvolutionSuzuki group

MSC classification

Primary: 20D06: Simple groups
Secondary: 20F12: Commutator calculus

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 104 , Issue 3 , December 2021 , pp. 448 - 452
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Copyright
© 2021 Australian Mathematical Publishing Association Inc.

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Footnotes

The author was supported by the Italian National Group for Algebraic and Geometric Structures and their Applications (GNSAGA – INdAM), and by the project ‘Attrazione e Mobilità dei Ricercatori’ Italian PON Programme (PON-AIM 2018 num. AIM1878214-2).

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