Geodesic
A solution of the power conjugacy problem for words in the Coxeter groups of extra large type
Diskretnaya Matematika, Tome 20 (2008) no. 3, pp. 101-110 
V. N. Bezverkhnii; I. V. Dobrynina. A solution of the power conjugacy problem for words in the Coxeter groups of extra large type. Diskretnaya Matematika, Tome 20 (2008) no. 3, pp. 101-110. http://geodesic.mathdoc.fr/item/DM_2008_20_3_a9/
@article{DM_2008_20_3_a9,
     author = {V. N. Bezverkhnii and I. V. Dobrynina},
     title = {A solution of the power conjugacy problem for words in the {Coxeter} groups of extra large type},
     journal = {Diskretnaya Matematika},
     pages = {101--110},
     year = {2008},
     volume = {20},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2008_20_3_a9/}
}
TY  - JOUR
AU  - V. N. Bezverkhnii
AU  - I. V. Dobrynina
TI  - A solution of the power conjugacy problem for words in the Coxeter groups of extra large type
JO  - Diskretnaya Matematika
PY  - 2008
SP  - 101
EP  - 110
VL  - 20
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/DM_2008_20_3_a9/
LA  - ru
ID  - DM_2008_20_3_a9
ER  - 
%0 Journal Article
%A V. N. Bezverkhnii
%A I. V. Dobrynina
%T A solution of the power conjugacy problem for words in the Coxeter groups of extra large type
%J Diskretnaya Matematika
%D 2008
%P 101-110
%V 20
%N 3
%U http://geodesic.mathdoc.fr/item/DM_2008_20_3_a9/
%G ru
%F DM_2008_20_3_a9

Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Appel K., “One Artin groups and Coxeter groups of large type”, Contemp. Math., 33 (1984), 50–78 | MR | Zbl

[2] Bezverkhnii V. N., Dobrynina I. V., “Reshenie problemy sopryazhennosti slov v gruppakh Kokstera bolshogo tipa”, Chebyshevskii sb., 4:1(5) (2003), 10–33 | MR | Zbl

[3] Lindon R., Shupp P., Kombinatornaya teoriya grupp, Nauka, Moskva, 1980

[4] Bezverkhnii V. N., Dobrynina I. V., “Reshenie problemy obobschennoi sopryazhennosti slov v gruppakh Kokstera bolshogo tipa”, Diskretnaya matematika, 17:3 (2005), 123–145 | MR | Zbl

[5] Bezverkhnii V. N., Dobrynina I. V., “Ob elementakh konechnogo poryadka v gruppakh Kokstera bolshogo tipa”, Izv. Tulskogo gos. un-ta. Ser. matem., mekh., inform., 9:1 (2003), 13–22 | MR

[6] Bezverkhnii V. N., Dobrynina I. V., “Reshenie problemy vkhozhdeniya v tsiklicheskuyu podgruppu v gruppakh Kokstera bolshogo tipa”, Izv. Tulskogo gos. un-ta. Ser. matem., mekh., inform., 10:1 (2004), 23–37 | MR

[7] Bezverkhnii V. N., Dobrynina I. V., “Reshenie problemy slaboi stepennoi sopryazhennosti slov v gruppakh Kokstera bolshogo tipa”, Izv. Tulskogo gos. un-ta. Ser. matem., mekh., inform., 10:1 (2004), 38–46 | MR