An application of the theory of permutations in breaking the Enigma cipher
Marian Rejewski (1980)
Applicationes Mathematicae
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Marian Rejewski (1980)
Applicationes Mathematicae
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Raykova, Mariana (2006)
The Electronic Journal of Combinatorics [electronic only]
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J. Denés, K. Schermann (1968)
Matematički Vesnik
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Bóna, Miklós (1998)
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Mansour, Toufik (2004)
International Journal of Mathematics and Mathematical Sciences
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Barcucci, Elena, Del Lungo, Alberto, Pergola, Elisa, Pinzani, Renzo (2000)
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F. Morley (1893/94)
Bulletin of the New York Mathematical Society
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Paweł Klinga (2016)
Colloquium Mathematicae
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We prove that every permutation of ω² is a composition of a finite number of axial permutations, where each axial permutation moves only a finite number of elements on each axis.
Roman Wituła, Edyta Hetmaniok, Damian Słota (2017)
Open Mathematics
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The aim of this paper is to present some new and essential facts about group 𝒢 generated by the family of convergent permutations, i.e. the permutations on ℕ preserving the convergence of series of real terms. We prove that there exist permutations preserving the sum of series which do not belong to 𝒢. Additionally, we show that there exists a family G (possessing the cardinality equal to continuum) of groups of permutations on ℕ such that each one of these groups is different than...
Lewis, Joel Brewster (2009)
The Electronic Journal of Combinatorics [electronic only]
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Albert, M.H., Atkinson, M.D., Brignall, R., Ruškuc, N., Smith, Rebecca, West, J. (2010)
The Electronic Journal of Combinatorics [electronic only]
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Smith, Rebecca (2006)
The Electronic Journal of Combinatorics [electronic only]
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Pudwell, Lara (2010)
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Coleman, Micah (2004)
The Electronic Journal of Combinatorics [electronic only]
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