A -elementary subgroup of a finite group is a subgroup which is the group direct product

where
is a *p*-group, is a cyclic group, and does not divide .

A -elementary subgroup of a finite group is a subgroup which is the group direct product

where
is a *p*-group, is a cyclic group, and does not divide .

*This entry contributed by Todd
Rowland*

Rowland, Todd. "p-Elementary Subgroup." From *MathWorld*--A Wolfram Web Resource, created by Eric
W. Weisstein. https://mathworld.wolfram.com/p-ElementarySubgroup.html