A short note on the noncoprime regular module problem
We consider a special configuration in which a finite group $A$ acts by automorphisms on the finite group $G$, and the semidirect product $GA$ acts on the vector space $V$ by linear transformations; and discuss the existence of the regular $A$-module in $V_{_{A}}$.
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | We consider a special configuration in which a finite group $A$ acts by
automorphisms on the finite group $G$, and the semidirect product $GA$ acts on
the vector space $V$ by linear transformations; and discuss the existence of
the regular $A$-module in $V_{_{A}}$. |
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DOI: | 10.48550/arxiv.1907.13201 |