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research article
Finite metacyclic groups as active sums of cyclic subgroups
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.
Type
research article
Web of Science ID
WOS:000340348700006
Authors
Publication date
2014
Publisher
Published in
Volume
352
Issue
7-8
Start page
567
End page
571
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
October 23, 2014
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