Prime set-extensible automorphism

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Template:Prime set-parametrized automorphism property

This is a variation of extensible automorphism|Find other variations of extensible automorphism |
This term is related to: Extensible automorphisms problem
View other terms related to Extensible automorphisms problem | View facts related to Extensible automorphisms problem


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Definition

Definition with symbols

Let \pi be a set of primes. Let G be a \pi-group, viz a finite group such that all prime divisors of its order are in \pi. An automorphism of G is said to be \pi-extensible if it can be extended to an automorphism of H for any \pi-group H containing G.

Relation with other properties

Particular cases