Inherently reductive IAPS

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Contents

Definition

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.

Definition with symbols

(fillin)

Property theory

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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