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PERMUTATION GROUPS

2007
Abstract. The theory of permutation groups is essentially the theory of symmetry for mathematical and physical systems, and therefore has major impact in diverse areas of mathematics. Recent significant advances in permutation groups have contributed to, and benefited from, many areas, leading to a more powerful permutation group theory including ...
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Free Wreath Product by the Quantum Permutation Group

, 2001
Let A be a compact quantum group, let n∈N* and let Aaut(Xn) be the quantum permutation group on n letters. A free wreath product construction A*wAaut(Xn) is introduced.
J. Bichon
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Permutation Involvement and Groups

The Quarterly Journal of Mathematics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Atkinson, M. D., Beals, Robert
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GENERATING TRANSITIVE PERMUTATION GROUPS

The Quarterly Journal of Mathematics, 1988
The following theorem is proved. There is a constant c such that for each positive integer d (\(\geq 2)\), each nilpotent transitive group of degree d can be generated by [cd(log d)\({}^{-1/2}]\) elements. Moreover for each prime p there is a positive constant \(c_ p\) such that whenever d is a power of p there is a transitive p-group of degree d which
Kovács, L. G., Newman, M. F.
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Designing secure substitution boxes based on permutation of symmetric group

Neural computing & applications (Print), 2019
Amir Anees, Yi-Ping Phoebe Chen
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Permutation Groups

1999
Permutation groups are one of the oldest topics in algebra. However, their study has recently been revolutionised by new developments, particularly the classification of finite simple groups, but also relations with logic and combinatorics, and importantly, computer algebra systems have been introduced that can deal with large permutation groups.
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