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http://dx.doi.org/10.4134/BKMS.b210478

COMPUTATION OF WEDDERBURN DECOMPOSITION OF GROUPS ALGEBRAS FROM THEIR SUBALGEBRA

Mittal, Gaurav (Department of Mathematics IIT Roorkee)
Sharma, Rajendra Kumar (Department of Mathematics IIT Delhi)

Publication Information

Bulletin of the Korean Mathematical Society / v.59, no.3, 2022 , pp. 781-787 More about this Journal

Abstract

In this paper, we show that under certain conditions the Wedderburn decomposition of a finite semisimple group algebra 𝔽_qG can be deduced from a subalgebra 𝔽_q(G/H) of factor group G/H of G, where H is a normal subgroup of G of prime order P. Here, we assume that q = p^r for some prime p and the center of each Wedderburn component of 𝔽_qG is the coefficient field 𝔽_q.

Keywords

Wedderburn decomposition; unit group; finite field;

Citations & Related Records

Reference

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