Upper Central Series for Elementary-Abelian-Over-Cyclic Regular Wreath Product P-Groups
We compute the upper central series for the regular wreath product finite group C ≀ E where C is a cyclic p-group and E is an elementary abelian p-group for some prime p. The notion of a pattern subgroup enables us to describe the upper central series in a natural way.
Journal of Algebra and Its Applications
Riedl, Jeffrey M., "Upper Central Series for Elementary-Abelian-Over-Cyclic Regular Wreath Product P-Groups" (2015). Mathematics Faculty Research. 8.