In algebra, a root group is a group together with a set of prime numbers satisfying the axiom:
- .
To specify the set of primes, a group may be referred to as a P-root group. For a single prime p it may be referred to as a p-root group.
An abelian root group is such a group where the multiplication is commutative.
P-root groups may be further classified depending on whether the unit element has a non-trivial root for any or all of the primes in the set P.
Read more about Root Group: Examples
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