2001Unpublished venueRequires access

Shuffle Permutation and Extended Shuffle Permutation

Jin Zhang

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Abstract

We investigate the properties of perfect shuffle permutation for the case that n is an any positive integer.A formula for computing the orders of the cyclic groups formed by perfect shuffle permutation is given.Moreover,the definition of extended shuffle permutation is presented and the properties of this permutation are discussed in this paper.

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What this paper is about

We investigate the properties of perfect shuffle permutation for the case that n is an any positive integer.A formula for computing the orders of the cyclic groups formed by perfect shuffle permutation is given.Moreover,the definition of extended shuffle permutation is presented and the properties of this permutation are discussed in this paper.

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Available abstract

We investigate the properties of perfect shuffle permutation for the case that n is an any positive integer.A formula for computing the orders of the cyclic groups formed by perfect shuffle permutation is given.Moreover,the definition of extended shuffle permutation is presented and the properties of this permutation are discussed in this paper.

Key concepts: Permutation (music), Cyclic permutation, Permutation graph, Partial permutation, Bit-reversal permutation, Combinatorics, Mathematics, Permutation group

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