Counting number of subgroups of order p of group G= Zp⨁ Zp⨁ …⨁ Zp

Abstract

This article belongs to subject Abstract Algebra. This article contains counting of some possible orders number of subgroup of group G, where G is external direct product of groups G= Zp⨁ Zp⨁ …⨁ Zp (n times), where p is prime number. As p is prime Zp is cyclic group of order p

Keywords

External direct product, cyclic group, Sylow theorem