Abstract
Let G be a group of finite order g, and let K be a commutative ring. We denote by K[G] the algebra of G over K; this algebra has a basis indexed by the elements of G, and most of the time we identify this basis with G. Each element f of K[G] can then be uniquely written in the form
and multiplication in K[G] extends that in G.
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© 1977 Springer-Verlag, New York Inc.
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Serre, JP. (1977). The group algebra. In: Linear Representations of Finite Groups. Graduate Texts in Mathematics, vol 42. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9458-7_6
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DOI: https://doi.org/10.1007/978-1-4684-9458-7_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4684-9460-0
Online ISBN: 978-1-4684-9458-7
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