On a class of algebras
Abstract
We introduce the notion of projective gruppal algebra that connects to every subgroup of order n of
a n-dimensional algebra over K.In particular we classify the projective gruppal algebras 4-dimensional over a perfect field K studying the conjugacy classes of the groups
and
in
.
![PGL (n, K)](https://853417.krfdn.asia/plugins/generic/latexRender/cache/7df8d695577e96b80da8efb25b34e583.png)
![Z<sub>2</sub> times Z<sub>2</sub>](https://853417.krfdn.asia/plugins/generic/latexRender/cache/f718ad4d63c7aed149ebaee24008e28e.png)
![Z<sub>4</sub>](https://853417.krfdn.asia/plugins/generic/latexRender/cache/7346d67620bf8c2581e7b4ce6b5d2e73.png)
![PGL (4, K)](https://853417.krfdn.asia/plugins/generic/latexRender/cache/348c209945b1d2baa35a187f19bffcc6.png)
DOI Code:
10.1285/i15900932v16n2p267
Full Text: PDF