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On Self-conjugate Permutations

Published online by Cambridge University Press:  15 September 2014

Thomas Muir
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Extract

The conception of conjugate permutations appears to be due to Rothe. The definition may be expressed thus:—Two permutations of the numbers 1, 2, 3,…, n are called conjugate when each number and the number of the place which it occupies in the one permutation are interchanged in the case of the other.

Type
Proceedings 1889-90
Information
Proceedings of the Royal Society of Edinburgh , Volume 17 , 1891 , pp. 7 - 13
Copyright
Copyright © Royal Society of Edinburgh 1891

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References

note * page 7 ‘Ueber Permutationen, in Beziehung auf die Stellen ihrer Elements,’ Sammlung combinatorisch-analytischer Abhandlungen, herausg. v. C. F. Hindenburg, ii. pp. 263–305.

note * page 8 ‘De formatione et proprietatibus determinantium,’ Crelle's Journ., xxii. p. 287.