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RATIONAL REPRESENTATIONS AND RATIONAL GROUP ALGEBRA OF VZ $\boldsymbol {p}$ -GROUPS

RATIONAL REPRESENTATIONS AND RATIONAL GROUP ALGEBRA OF VZ $\boldsymbol {p}$ -GROUPS

Abstract In this article, we study rational matrix representations of VZ p -groups ( p is any prime). Using our findings on VZ p -groups, we explicitly obtain all inequivalent irreducible rational matrix representations of all p -groups of order $\leq p^4$ . Furthermore, we establish combinatorial formulae to determine …