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 
.
p-Elementary Subgroup
See also
Group, Group Direct Product, Induced Representation, p-GroupThis entry contributed by Todd Rowland
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Cite this as:
Weisstein, Eric W., with contributions by Todd Rowland. "p-Elementary Subgroup." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/p-ElementarySubgroup.html