Group algebras

Inder Bir S. Passi ()
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Inder Bir S. Passi: Panjab University

Indian Journal of Pure and Applied Mathematics, 2012, vol. 43, issue 2, 89-106

Abstract: Abstract Given a group G and a commutative ring k with identity, one can define an k-algebra k[G] called the group algebra of G over k. An element α ∈ k[G] is said to be algebraic if f(α) = 0 for some non-zero polynomial f(X) ∈ k[X]. We will discuss some of the developments in the study of algebraic elements in group algebras.

Keywords: Group algebras; augmentation ideal; dimension sub-groups; algebraic elements; partial augmentation; Jordan decomposition; idempotents; Bass conjecture (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s13226-012-0006-3

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