Infinity-extensible automorphism: Difference between revisions
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{{automorphism property}} | {{automorphism property}} | ||
{{variation of|extensible automorphism}} | |||
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==Definition== | ==Definition== | ||
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===Stronger properties=== | ===Stronger properties=== | ||
* [[Inner automorphism]] | * [[Weaker than::Inner automorphism]] | ||
===Weaker properties=== | ===Weaker properties=== | ||
* [[Extensible automorphism]] | * [[Stronger than::Extensible automorphism]] | ||
* [[Stronger than::Finite-iteratively extensible automorphism]] | |||
* [[Stronger than::Chain-extensible automorphism]] | |||
Latest revision as of 15:04, 24 June 2008
BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]
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)
View other automorphism properties OR View other function properties
This is a variation of extensible automorphism|Find other variations of extensible automorphism |
Definition
Symbol-free definition
An automorphism of a group is said to be infinity-extensible if it is -extensible for every ordinal .