Inherently reductive IAPS

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[edit] Definition

[edit] Symbol-free definition

An IAPS of groups is termed inherently reductive if it is reductive for every parabolic structure that can be given to it.

[edit] Definition with symbols

(fillin)

[edit] Property theory

[edit] Examples of inherently reductive IAPSes

Any power APS is inherently reductive, because here, the Failed to parse (Can't write to or create math temp directory): n^{th}

member itself equals every Levi subgroup.

The permutation IAPS is also inherently reductive.

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