A short note on the Wedderburn components of a semisimple finite group algebra
Serdica Mathematical Journal, Tome 49 (2023) no. 4, pp. 241-250
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One of the classical problems in the subject of group algebras is that of deducing Wedderburn decomposition of a finite semisimple group algebra. In this short note, we discuss how to check whether a matrix ring over a finite field is a Wedderburn component of the Wedderburn decomposition of a group algebra or not. Finally, we formulate an open problem in this direction.
Keywords:
Wedderburn decomposition, unit group, finite field, 20C05
Mittal, Gaurav; Sharma, Rajendra. A short note on the Wedderburn components of a semisimple finite group algebra. Serdica Mathematical Journal, Tome 49 (2023) no. 4, pp. 241-250. http://geodesic.mathdoc.fr/item/SMJ2_2023_49_4_a1/
@article{SMJ2_2023_49_4_a1,
author = {Mittal, Gaurav and Sharma, Rajendra},
title = {A short note on the {Wedderburn} components of a semisimple finite group algebra},
journal = {Serdica Mathematical Journal},
pages = {241--250},
year = {2023},
volume = {49},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2023_49_4_a1/}
}
TY - JOUR AU - Mittal, Gaurav AU - Sharma, Rajendra TI - A short note on the Wedderburn components of a semisimple finite group algebra JO - Serdica Mathematical Journal PY - 2023 SP - 241 EP - 250 VL - 49 IS - 4 UR - http://geodesic.mathdoc.fr/item/SMJ2_2023_49_4_a1/ LA - en ID - SMJ2_2023_49_4_a1 ER -