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.


Published in:
Comptes Rendus Mathematique, 352, 7-8, 567-571
Year:
2014
Publisher:
Paris, Elsevier
ISSN:
1631-073X
Laboratories:




 Record created 2014-10-23, last modified 2018-09-13


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