Continuously many quasi-isometry classes of residually finite groups
Glasgow mathematical journal, Tome 65 (2023) no. 3, pp. 569-572
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We study a family of finitely generated residually finite small-cancellation groups. These groups are quotients of $F_2$ depending on a subset $S$ of positive integers. Varying $S$ yields continuously many groups up to quasi-isometry.
Mots-clés :
Residually finite, small-cancellation groups, quasi-isometry
Chong, Hip Kuen; Wise, Daniel T. Continuously many quasi-isometry classes of residually finite groups. Glasgow mathematical journal, Tome 65 (2023) no. 3, pp. 569-572. doi: 10.1017/S0017089523000137
@article{10_1017_S0017089523000137,
author = {Chong, Hip Kuen and Wise, Daniel T.},
title = {Continuously many quasi-isometry classes of residually finite groups},
journal = {Glasgow mathematical journal},
pages = {569--572},
year = {2023},
volume = {65},
number = {3},
doi = {10.1017/S0017089523000137},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089523000137/}
}
TY - JOUR AU - Chong, Hip Kuen AU - Wise, Daniel T. TI - Continuously many quasi-isometry classes of residually finite groups JO - Glasgow mathematical journal PY - 2023 SP - 569 EP - 572 VL - 65 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089523000137/ DO - 10.1017/S0017089523000137 ID - 10_1017_S0017089523000137 ER -
%0 Journal Article %A Chong, Hip Kuen %A Wise, Daniel T. %T Continuously many quasi-isometry classes of residually finite groups %J Glasgow mathematical journal %D 2023 %P 569-572 %V 65 %N 3 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089523000137/ %R 10.1017/S0017089523000137 %F 10_1017_S0017089523000137
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