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Space of Invariant bilinear forms under representation of a group of order 8

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arxiv 1910.09850 v2 pith:RLNABUDP submitted 2019-10-22 math.GR

Dilchand Mahto , Jagmohan Tanti This is my paper · ORCID
classification math.GR
keywords bilinearformsfieldgroupinvariantorderalgebraicallychar
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Let G be a group of order 8 and F an algebraically closed field with char= 2. In this paper we compute the number of n degree representations of G and subsequent dimensions of the corresponding spaces of invatiant bilinear forms over the field F. We explicitly discuss about the existence of non-degenerate invariant bilinear forms.

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