Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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COMPUTATION OF WEDDERBURN DECOMPOSITION OF GROUPS ALGEBRAS FROM THEIR SUBALGEBRA

  • Received : 2021.06.27
  • Accepted : 2022.01.17
  • Published : 2022.05.31
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Abstract

In this paper, we show that under certain conditions the Wedderburn decomposition of a finite semisimple group algebra 𝔽qG can be deduced from a subalgebra 𝔽q(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 = pr for some prime p and the center of each Wedderburn component of 𝔽qG is the coefficient field 𝔽q.

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References

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