Conjugacy Separability of Certain Polygonal Products
Canadian mathematical bulletin, Tome 39 (1996) no. 3, pp. 294-307
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We show that polygonal products of polycyclic-by-finite groups amalgamating central cyclic subgroups, with trivial intersections, are conjugacy separable. Thus polygonal products of finitely generated abelian groups amalgamating cyclic subgroups, with trivial intersections, are conjugacy separable. As a corollary of this, we obtain that the group A 1 *〈a1〉A 2 *〈a2〉 • • • *〈a m-1〉Am is conjugacy separable for the abelian groups Ai .
Mots-clés :
Primary: 20E26, 20E06, secondary: 20F10, Polygonal products, generalized free products, conjugacy separable, residuallyfinite
Kim, Goansu. Conjugacy Separability of Certain Polygonal Products. Canadian mathematical bulletin, Tome 39 (1996) no. 3, pp. 294-307. doi: 10.4153/CMB-1996-037-3
@article{10_4153_CMB_1996_037_3,
author = {Kim, Goansu},
title = {Conjugacy {Separability} of {Certain} {Polygonal} {Products}},
journal = {Canadian mathematical bulletin},
pages = {294--307},
year = {1996},
volume = {39},
number = {3},
doi = {10.4153/CMB-1996-037-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1996-037-3/}
}
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