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Expansion of even permutations into two factors of the given cyclic structure
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V. G. Bardakov
Published/Copyright:
February 2, 2016
Abstract
We prove Brenner-Evans' conjecture that, for any natural numbers k ≥ 4 and m ≥ 1, any even permutation of the group Akm is a product of two permutations, each of them is expanded into a product of m independent cycles of length k. It is known that this assertion is incorrect for k = 2, 3.
Published Online: 2016-2-2
Published in Print: 1993-1-1
© 2016 by Walter de Gruyter Berlin/Boston
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Articles in the same Issue
- Editorial
- The Steiner problem: a survey
- Exponents of classes of non-negative matrices
- Algebraic operations and identities generated by Grassmann's algebras
- Expansion of even permutations into two factors of the given cyclic structure
- Line hypergraphs
- On the number of threshold functions
- Large deviations of the height of a random tree
- Theorems on large deviations in the polynomial scheme of trials
- Forthcoming Papers
- Contents
Articles in the same Issue
- Editorial
- The Steiner problem: a survey
- Exponents of classes of non-negative matrices
- Algebraic operations and identities generated by Grassmann's algebras
- Expansion of even permutations into two factors of the given cyclic structure
- Line hypergraphs
- On the number of threshold functions
- Large deviations of the height of a random tree
- Theorems on large deviations in the polynomial scheme of trials
- Forthcoming Papers
- Contents
