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research article

Finite metacyclic groups as active sums of cyclic subgroups

Diaz-Barriga, Alejandro
•
Gonzalez-Acuna, Francisco
•
Marmolejo, Francisco
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2014
Comptes Rendus Mathematique

The notion of active sum provides an analogue for groups of what the direct sum is for abelian groups. One natural question then is which groups are the active sum of a family of cyclic subgroups. Many groups have been found to give a positive answer to this question, while the case of finite metacyclic groups remained unknown. In this note we show that every finite metacyclic group can be recovered as the active sum of a discrete family of cyclic subgroups.

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Type
research article
DOI
10.1016/j.crma.2014.06.006
Web of Science ID

WOS:000340348700006

Author(s)
Diaz-Barriga, Alejandro
Gonzalez-Acuna, Francisco
Marmolejo, Francisco
Romero, Nadia  
Date Issued

2014

Publisher

Elsevier

Published in
Comptes Rendus Mathematique
Volume

352

Issue

7-8

Start page

567

End page

571

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
CTG  
Available on Infoscience
October 23, 2014
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/107921
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