Some classes of semisimple group (and loop) algebras over finite fields.

DOI10.1016/j.jalgebra.2010.09.005zbMath1228.20004arXiv0907.1592OpenAlexW2060729907MaRDI QIDQ627977

Edgar G. Goodaire, Francisco César Polcino Milies, Raul Antonio Ferraz

Publication date: 4 March 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.1592

zbMATH Keywords

finite fieldsalternative ringsisomorphism problemWedderburn decompositionsalternative loop algebrasright alternative loopssemisimple group algebras

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Loops, quasigroups (20N05) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Alternative rings (17D05)

Related Items (5)

Some classes of semisimple group (and loop) algebras over finite fields. ⋮ On units in loop algebra \(F[M(\mathrm{Dih}(C_p^2),2)\)] ⋮ Structure of finite dihedral group algebra. ⋮ The unit loop of finite loop algebras of loops of order 32. ⋮ The Algebraic Structure of Finite Metabelian Group Algebras

Cites Work

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• Some classes of semisimple group (and loop) algebras over finite fields.
• Idempotents in group algebras and minimal abelian codes
• Lie properties of symmetric elements in group rings. II.
• Lie properties of symmetric elements in group rings.
• Cyclic codes of length \(2^m\)
• An introduction to group rings
• Simple components and central units in group algebras.
• Group algebras of torsion groups and Lie nilpotence
• ANTISYMMETRIC ELEMENTS IN GROUP RINGS II
• On Symmetric Elements and Symmetric Units in Group Rings
• ANTISYMMETRIC ELEMENTS IN GROUP RINGS

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