Andrews–Curtis groups and the Andrews–Curtis conjecture
نویسندگان
چکیده
منابع مشابه
Arithmetic Groups and Lehmer’s Conjecture
Arithmetic groups are a rich class of groups where connections between topology and number theory are showcased in a particularly striking way. One construction of these groups is motivated by the modular group, PSL2(Z). The group of orientation preserving isometries of the hyperbolic upper half plane, H, is isomorphic to PSL2(R). Since Z is a discrete subgroup of R it follows that PSL2(Z) is d...
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Motivated by the search for a counterexample to the Poincaré conjecture in three and four dimensions, the Andrews-Curtis conjecture was proposed in 1965. It is now generally suspected that the AndrewsCurtis conjecture is false, but small potential counterexamples are not so numerous, and previous work has attempted to eliminate some via combinatorial search. Progress has however been limited, w...
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ژورنال
عنوان ژورنال: Journal of Group Theory
سال: 2007
ISSN: 1433-5883,1435-4446
DOI: 10.1515/jgt.2007.029