I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2009, VOLUME 15, NUMBER 1, PAGES 31-51
On the representation of substitutions as products of
a transposition and a full cycle
A. Yu. Zubov
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A method of solving equations of the form in the symmetric
group is proposed,
a transposition, is a full cycle, and
The method is based on building all sets of generalized inversions of
the bottom line of the substitution by means of
a system of Boolean equations associated with .
An example of solving an equation in a group is given.
Last modified: December 2, 2009