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Structure of some classes of semisimple group algebras over finite fields
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In continuation to the investigation initiated by Ferraz, Goo- daire and Milies in [4], we provide an explicit description for the Wed- derburn decomposition of finite semisimple group algebras of the class of finite groups G, such that G/Z(G) = C2 × C2, where Z(G) denotes the center of G.
Abstract
In continuation to the investigation initiated by Ferraz, Goo- daire and Milies in [4], we provide an explicit description for the Wed- derburn decomposition of finite semisimple group algebras of the class of finite groups G, such that G/Z(G) = C2 × C2, where Z(G) denotes the center of G.
참고문헌 (9)
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- R. A. Ferraz, "Simple components of the center of FG", J(FG), 2008, pp.36(9), 3191~3199
- R. A. Ferraz, "Some classes of semisimple group (and loop) algebras over finite fields", J. Algebra, 324(12), pp.3457~3469 (2010)
- E. Jespers, "Classifying indecomposable R.A. loops", J. Algebra, 176(2), pp.569~584 (1995)
- G. Leal, "Isomorphic group (and loop) algebras", J. Algebra, 155(1), pp.195~210 (1993)
- C. P. Milies, "An Introduction to Group Rings" (2002), Kluwer Academic Pub-lishers
- V. S. Pless, "Handbook of Coding Theory" (1998), Elsevier
- R. E. Sabin, "Metacyclic error-correcting codes", Appl. Algebra Engrg. Comm. Comput, 6(3), pp.191~210 (1995)
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