1 research outputs found
Finite metacyclic groups as active sums of cyclic subgroups
The notion of active sum provides an analogue for groups of that of direct
sum for abelian groups. One natural question then is which groups are the
active sum 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