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- W2793154955 abstract "Let $P$ be a principal indecomposable module of a finite group $G$ in characteristic $2$ and let $varphi$ be the Brauer character of the corresponding simple $G$-module. We show that $P$ affords a non-degenerate $G$-invariant quadratic form if and only if there are involutions $s,tin G$ such that $st$ has odd order and $varphi(st)/2$ is not an algebraic integer. We then show that the number of isomorphism classes of quadratic principal indecomposable $G$-modules is equal to the number of strongly real conjugacy classes of odd order elements of $G$." @default.
- W2793154955 created "2018-03-29" @default.
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- W2793154955 date "2018-03-08" @default.
- W2793154955 modified "2023-09-27" @default.
- W2793154955 title "Quadratic principal indecomposable modules and strongly real elements of finite Groups" @default.
- W2793154955 hasPublicationYear "2018" @default.
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