GRAPH SMALL CANCELLATION THEORY APPLIED TO ALTERNATING LINK GROUPS
نویسندگان
چکیده
منابع مشابه
Graph small cancellation theory applied to prime alternating link groups
We show that the Wirtinger presentation of a prime alternating link group satisfies a generalized small cancellation condition. This gives a simplification of Weinbaum’s solution to the word and conjugacy problems for these groups, which extends to finite sums of alternating links.
متن کاملThe Burnside Groups and Small Cancellation Theory
In a pair of recent articles, the author develops a general version of small cancellation theory applicable in higher dimensions ([5]), and then applies this theory to the Burnside groups of sufficiently large exponent ([6]). More specifically, these articles prove that the free Burnside groups of exponent n ≥ 1260 are infinite groups which have a decidable word problem. The structure of the fi...
متن کاملHyperbolic Alternating Virtual Link Groups
We study the topology and geometry of virtual link complements and groups. We show that the groups defined by the Wirtinger presentation of certain prime dense alternating virtual links are CAT(0) and hyperbolic. MSC: 57M05, 57M50, 20F65, 20F67.
متن کاملAsphericity and small cancellation theory for rotation family of groups
Using small cancellation for rotating families of groups, we construct new examples of aspherical polyhedra.
متن کاملA General Small Cancellation Theory
In this article a generalized version of small cancellation theory is developed which is applicable to specific types of high-dimensional simplicial complexes. The usual results on small cancellation groups are then shown to hold in this new setting with only slight modifications. For example, arbitrary dimensional versions of the Poincaré construction and the Cayley complex are described.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Knot Theory and Its Ramifications
سال: 2012
ISSN: 0218-2165,1793-6527
DOI: 10.1142/s0218216512501131