Prime-extensible automorphism

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This article defines an automorphism property, viz a property of group automorphisms. Hence, it also defines a function property (property of functions from a group to itself)
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This is a variation of extensible automorphism|Find other variations of extensible automorphism |

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Let p be a prime. An automorphism of a group whose order is a power of p is said to be p-extensible if for any embedding of the group in a bigger goup whose order is a power of the same prime, the automorphism can be extended to an automorphism of the bigger group.

Relation with other properties

Weaker properties

Related properties