Abstract
A group is a set with an associative operation, an identity for the operation, with the property that every element has an inverse. We will conventionally denote the operation as multiplication, and 1 for the identity. Typical examples of abelian, i.e., commutative, groups include rings and fields, with respect to addition. Nonabelian groups that arise naturally are permutation groups and groups of geometric transformations.
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© 1994 Kluwer Academic Publishers
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(1994). Fourier Transform on Finite Groups and Related Transforms. In: Algebraic Structures and Operator Calculus. Mathematics and Its Applications, vol 292. Springer, Dordrecht. https://doi.org/10.1007/978-0-585-28003-5_5
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DOI: https://doi.org/10.1007/978-0-585-28003-5_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-2921-3
Online ISBN: 978-0-585-28003-5
eBook Packages: Springer Book Archive