A solution of the power conjugacy problem for words in the Coxeter groups of extra large type
Владимир Николаевич Безверхний, Irina Vasilyevna Dobrynina · Discrete Mathematics and Applications · 2008
For Coxeter groups of extra large type, the power conjugacy problem for words and the problem of intersection of cyclic groups are solved; for the second problem we suggest an algorithm which for two elements finds the generator of the intersection of their cyclic subgroups.