Conjugacy Length in Group Extensions
نویسندگان
چکیده
منابع مشابه
The Conjugacy Problem in Extensions of Thompson’s Group F
We solve the twisted conjugacy problem on Thompson’s group F . We also exhibit orbit undecidable subgroups of Aut(F ), and give a proof that Aut(F ) and Aut+(F ) are orbit decidable provided a certain conjecture on Thompson’s group T is true. By using general criteria introduced by Bogopolski, Martino and Ventura in [5], we construct a family of free extensions of F where the conjugacy problem ...
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Anshel, et. al., introduced a new cryptographic protocol, the Commutator key agreement protocol, whose strength lies heavily on the difficulty of the generalized conjugacy problem in subgroups of the Braid group. A natural approach to this problem is by using a length-based method, with the length of the Garside normal form as a length function. Experiments show that this approach is far from b...
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We present a characterisation of conjugacy in Thompson’s group using the natural action of F on the interval [0, 1]. This characterisation completes the program begun by Brin and Squier [BS01]. Our characterisation also provides another solution to the conjugacy problem in Thompson’s group which was first solved by Guba and Sapir using diagram groups [GS97]. A number of other solutions exist du...
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We complete the program begun by Brin and Squier of characterising conjugacy in Thompson’s group F using the standard action of F as a group of piecewise linear homeomorphisms of the unit interval.
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2015
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927872.2014.990021