TY - JOUR
T1 - On the asphericity of LOT-presentations of groups
AU - Ivanov, S. V.
N1 - Funding Information:
* This work was supported in part by NSF grants DMS 98-01500, DMS 00-99612.
PY - 2005/1
Y1 - 2005/1
N2 - Let U be an arbitrary word in letters x1±1, . . . , xm±1 and m ≥ 2. We prove that the group presentation 〈x1, . . . , xm || UxiU -1 = xi+1, i = 1 , . . . , m - 1〉 is aspherical. The proof is based upon prior partial results of A. Klyachko and the author on the asphericity of such presentations.
AB - Let U be an arbitrary word in letters x1±1, . . . , xm±1 and m ≥ 2. We prove that the group presentation 〈x1, . . . , xm || UxiU -1 = xi+1, i = 1 , . . . , m - 1〉 is aspherical. The proof is based upon prior partial results of A. Klyachko and the author on the asphericity of such presentations.
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U2 - 10.1515/jgth.2005.8.1.135
DO - 10.1515/jgth.2005.8.1.135
M3 - Article
AN - SCOPUS:21644469899
SN - 1433-5883
VL - 8
SP - 135
EP - 138
JO - Journal of Group Theory
JF - Journal of Group Theory
IS - 1
ER -