Pentactions and action representability in the category of reduced groups with action
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ID: 282441
2022
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Abstract
A notion of pentaction of any object in the category $\mathbf{rGr}^{\bullet}$
of reduced groups with action is introduced. The operations are defined in the
set $\mathsf{Pentact}(A)$ of pentactions of an object $A$ of
$\mathbf{rGr}^{\bullet}$. It is proved that if an object $A$ is perfect with
zero weak stabilizer in the sense defined in the paper, then
$\mathsf{Pentact}(A)$ is an object of $\mathbf{rGr}^{\bullet}$, it has a
derived action on $A$, the object $A$ is action representable and
$\mathsf{Pentact}(A)$ represents all actions on $A$.
| Reference Key |
Şahan2022pentactions
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|---|---|
| Authors | Tamar Datuashvili; Tunçar Şahan |
| Journal | arXiv |
| Year | 2022 |
| DOI |
DOI not found
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| URL | |
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