Geodesic
О структуре централизатора элементов в группах Aртина с древесной структурой
Čebyševskij sbornik, Tome 14 (2013) no. 3, pp. 100-120.

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

We described structure of an centralizer of elements in Artin groups with arboreal structure.
Keywords: Artin group with arboreal structure, diagram, area. 
@article{CHEB_2013_14_3_a13,
     author = {O. Yu. Platonova and V. N. Bezverkhniy},
     title = {{\CYRO} {\cyrs}{\cyrt}{\cyrr}{\cyru}{\cyrk}{\cyrt}{\cyru}{\cyrr}{\cyre} {\cyrc}{\cyre}{\cyrn}{\cyrt}{\cyrr}{\cyra}{\cyrl}{\cyri}{\cyrz}{\cyra}{\cyrt}{\cyro}{\cyrr}{\cyra} {\cyrerev}{\cyrl}{\cyre}{\cyrm}{\cyre}{\cyrn}{\cyrt}{\cyro}{\cyrv} {\cyrv} {\cyrg}{\cyrr}{\cyru}{\cyrp}{\cyrp}{\cyra}{\cyrh} {A{\cyrr}{\cyrt}{\cyri}{\cyrn}{\cyra}} {\cyrs} {\cyrd}{\cyrr}{\cyre}{\cyrv}{\cyre}{\cyrs}{\cyrn}{\cyro}{\cyrishrt} {\cyrs}{\cyrt}{\cyrr}{\cyru}{\cyrk}{\cyrt}{\cyru}{\cyrr}{\cyro}{\cyrishrt}},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {100--120},
     publisher = {mathdoc},
     volume = {14},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2013_14_3_a13/}
}
TY  - JOUR
AU  - O. Yu. Platonova
AU  - V. N. Bezverkhniy
TI  - О структуре централизатора элементов в группах Aртина с древесной структурой
JO  - Čebyševskij sbornik
PY  - 2013
SP  - 100
EP  - 120
VL  - 14
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CHEB_2013_14_3_a13/
LA  - ru
ID  - CHEB_2013_14_3_a13
ER  - 
%0 Journal Article
%A O. Yu. Platonova
%A V. N. Bezverkhniy
%T О структуре централизатора элементов в группах Aртина с древесной структурой
%J Čebyševskij sbornik
%D 2013
%P 100-120
%V 14
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CHEB_2013_14_3_a13/
%G ru
%F CHEB_2013_14_3_a13
O. Yu. Platonova; V. N. Bezverkhniy. О структуре централизатора элементов в группах Aртина с древесной структурой. Čebyševskij sbornik, Tome 14 (2013) no. 3, pp. 100-120. http://geodesic.mathdoc.fr/item/CHEB_2013_14_3_a13/

[1] Appel K., Schupp P., “Artin groups and infinite Coxeter groups”, Invent. Math., 72 (1983), 201—220 | DOI | MR | Zbl

[2] Lindon R., Shupp P., Kombinatornaya teoriya grupp, Mir, M., 1980 | MR

[3] Bezverkhnii V. N., Karpova O. Yu., “Problemy ravenstva i sopryazhennosti slov v gruppakh Artina s drevesnoi strukturoi”, Izvestiya Tulskogo gosudarstvennogo universiteta. Ser. Matematika. Mekhanika. Informatika, 12:1 (2006), 67–82 | MR

[4] Bezverkhnii V. N., Karpova O. Yu., “O kruchenii v gruppakh Artina s drevesnoi strukturoi”, Izvestiya Tulskogo gosudarstvennogo universiteta. Estestvennye nauki, 2008, no. 2, 6–17

[5] Bezverkhnii V. N., Karpova O. Yu., “Reshenie problemy stepennoi sopryazhennosti v gruppakh Artina s drevesnoi strukturoi”, Izvestiya Tulskogo gosudarstvennogo universiteta. Estestvennye nauki. Estestvennye nauki, 2009, no. 3, 42–59 | MR

[6] Platonova O. Yu., “O strukture tsentralizatora elementov edinichnoi slogovoi dliny v gruppakh Artina s drevesnoi strukturoi”, Chebyshevskii sbornik, 11:2(34) (2010), 73–84 | MR | Zbl

[7] Platonova O. Yu., “Problema peresecheniya tsiklicheskikh podgrupp v gruppakh Artina s drevesnoi strukturoi”, Chebyshevskii sbornik, 11:2(34) (2010), 85–96 | MR | Zbl