New embeddings between the Higman-Thompson groups
نویسندگان
چکیده
منابع مشابه
The homology of the Higman–Thompson groups
We prove that Thompson’s group V is acyclic, answering a 1992 question of Brown in the positive. More generally, we identify the homology of the Higman–Thompson groups Vn,r with the homology of the zeroth component of the infinite loop space of the mod n− 1 Moore spectrum. As V = V2,1, we can deduce that this group is acyclic. Our proof involves establishing homological stability with respect t...
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For every finitely generated recursively presented group G we construct a finitely presented group H containing G such that G is (Frattini) embedded into H and the group H has solvable conjugacy problem if and only if G has solvable conjugacy problem. Moreover, G and H have the same r.e. Turing degrees of the conjugacy problem. This solves a problem by D.
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2020
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927872.2020.1739290