weaker = normal automorphism}}
==Statement== Every extensible automorphism of a group is a normal automorphism: ... ...
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An automorphism \sigma of a group G is termed a weakly normal automorphism ... * Weaker than::Normal automorphism: A normal automorphism is a weakly ... ...
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An automorphism \sigma of a group G is termed a normal-extensible ... The normal-extensible automorphisms of any group form a subgroup of ... ...
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A transitively normal subgroup of a group (a subgroup with the property ... A subgroup H of a group G is termed transitively normal in G if whenever ... ...
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The following are equivalent for a normal subgroup K of a group G: ... # For any normal automorphism \sigma of G, the restriction of \sigma ... ...
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An automorphism \sigma of a group G is termed a strong monomial automorphism ... * Stronger than::Normal automorphism
* Stronger than::Weakly normal ... ...
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* Normal automorphism
* Normal core
* Normal closure
* Normalizer * Normal topological group
Alternatively search for normal using our ... ...
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An automorphism \sigma of a group G is termed a rational class-preserving ... * Stronger than::Normal automorphism
* Stronger than::Weakly normal ... ...
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An automorphism of a group is termed normal-extensible if, for any ... An automorphism \sigma of a group G is termed normal-extensible if ... ...
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Any inner automorphism of a group is a class automorphism: it sends ... An automorphism \sigma of a group G is termed an inner automorphism ... ...
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An automorphism of a group is termed a strong power automorphism if ... * For a finite group, and more generally, a periodic group, any power ... ...
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An automorphism \sigma of a group G is termed an extended class-preserving ... * Stronger than::Normal automorphism
* Stronger than::Weakly normal ... ...
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A normal-extensible automorphism of a group (i.e., an automorphism ... A normal subgroup of a group need not be a normal-extensible automorphism ... ...
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A normal automorphism of a group (an automorphism that preserves all ... subgroup-conjugating: An automorphism of a group that preserves conjugacy ... ...
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A potentially characteristic subgroup of a group need not be a normal ... normal-extensible automorphism of a finite group that is not a normal automorphism ... ...
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It is possible to have a finite group G, a normal subgroup N of G ... # uses::Every automorphism is center-fixing and inner automorphism ... ...
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An automorphism \sigma of a group G is termed a locally inner automorphism ... | Stronger than::Normal automorphism || sends every normal subgroup ... ...
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An automorphism of a group is termed normal or quotientable or normal ... of the defining ingredient::quotient group for any quotient map. ... ...
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An automorphism of a group is said to be direct factor-preserving ... * Weaker than::Normal automorphism ... ...
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A group in which every normal subgroup is characteristic is a group ... G is embedded as a normal subgroup of some group K, then G is a transitively ... ...
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