p-primary component
Definition 1.
Let be a finite abelian group and let be a prime. The -primary component of , , is the subgroup of all elements whose order is a power of .
Note: The -primary component of an abelian group coincides with the unique Sylow -subgroup of .
Title | p-primary component |
---|---|
Canonical name | PprimaryComponent |
Date of creation | 2013-03-22 13:52:05 |
Last modified on | 2013-03-22 13:52:05 |
Owner | alozano (2414) |
Last modified by | alozano (2414) |
Numerical id | 5 |
Author | alozano (2414) |
Entry type | Definition |
Classification | msc 20D20 |
Synonym | primary component |
Related topic | SylowPSubgroup |