Graph small cancellation theory applied to prime alternating link groups
نویسندگان
چکیده
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.
منابع مشابه
Simple groups with the same prime graph as $D_n(q)$
Vasil'ev posed Problem 16.26 in [The Kourovka Notebook: Unsolved Problems in Group Theory, 16th ed.,Sobolev Inst. Math., Novosibirsk (2006).] as follows:Does there exist a positive integer $k$ such that there are no $k$ pairwise nonisomorphicnonabelian finite simple groups with the same graphs of primes? Conjecture: $k = 5$.In [Zvezdina, On nonabelian simple groups having the same prime graph a...
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