TY - JOUR
T1 - On finitely presented groups given by periodic relators
AU - Ivanov, S. V.
N1 - Funding Information:
* Supported in part by an Alfred P. Sloan Research Fellowship and NSF grants DMS 95-01056, DMS 98-01500
PY - 2000
Y1 - 2000
N2 - Let a group G have a presentation of the form 〈sl∥Rn1, Rn2, . . . , Rns〉, where n = n1n2 ≥ 248, n1 is odd, n2 is a power of 2, and 29 divides n2 if n is even. It is proven that if G has no elements of order 2n2 then G is a hyperbolic group in which every finite subgroup is isomorphic to a subgroup of a direct product of dihedral groups.
AB - Let a group G have a presentation of the form 〈sl∥Rn1, Rn2, . . . , Rns〉, where n = n1n2 ≥ 248, n1 is odd, n2 is a power of 2, and 29 divides n2 if n is even. It is proven that if G has no elements of order 2n2 then G is a hyperbolic group in which every finite subgroup is isomorphic to a subgroup of a direct product of dihedral groups.
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U2 - 10.1515/jgth.2000.009
DO - 10.1515/jgth.2000.009
M3 - Article
AN - SCOPUS:0347268437
SN - 1433-5883
VL - 3
SP - 95
EP - 99
JO - Journal of Group Theory
JF - Journal of Group Theory
IS - 1
ER -