The problem of the power conjugacy words in a~tree product of free groups with cyclic amalgamation
Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 4, pp. 29-37
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We give a positive answer to the problem of power conjugacy words in a tree product of free groups with cyclic amalgamation. It is a generalization of the well-known result obtained by S. Lipschutz for a free product of two free groups with cyclic amalgamation.
@article{FPM_2019_22_4_a2,
author = {V. N. Bezverkhnii and E. S. Logacheva},
title = {The problem of the power conjugacy words in a~tree product of free groups with cyclic amalgamation},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {29--37},
publisher = {mathdoc},
volume = {22},
number = {4},
year = {2019},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2019_22_4_a2/}
}
TY - JOUR AU - V. N. Bezverkhnii AU - E. S. Logacheva TI - The problem of the power conjugacy words in a~tree product of free groups with cyclic amalgamation JO - Fundamentalʹnaâ i prikladnaâ matematika PY - 2019 SP - 29 EP - 37 VL - 22 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FPM_2019_22_4_a2/ LA - ru ID - FPM_2019_22_4_a2 ER -
%0 Journal Article %A V. N. Bezverkhnii %A E. S. Logacheva %T The problem of the power conjugacy words in a~tree product of free groups with cyclic amalgamation %J Fundamentalʹnaâ i prikladnaâ matematika %D 2019 %P 29-37 %V 22 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/FPM_2019_22_4_a2/ %G ru %F FPM_2019_22_4_a2
V. N. Bezverkhnii; E. S. Logacheva. The problem of the power conjugacy words in a~tree product of free groups with cyclic amalgamation. Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 4, pp. 29-37. http://geodesic.mathdoc.fr/item/FPM_2019_22_4_a2/