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p-Elementary Subgroup


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

 H=C_n×P,

where P is a p-group, C_n is a cyclic group, and p does not divide n.


See also

Group, Group Direct Product, Induced Representation, p-Group

This entry contributed by Todd Rowland

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Cite this as:

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

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