A FINITELY PRESENTED GROUP WITH TWO NON-HOMEOMORPHIC ASYMPTOTIC CONES
نویسندگان
چکیده
منابع مشابه
A Finitely Presented Group with Two Non-Homeomorphic asymptotic Cones
We give an example of a finitely presented group G with two non-π 1-equivalent asymptotic cones.
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We construct a finitely presented torsion-free simple group Σ0, acting cocompactly on a product of two regular trees. An infinite family of such groups has been introduced by Burger-Mozes ([2, 4]). We refine their methods and get Σ0 as an index 4 subgroup of a group Σ < Aut(T12)×Aut(T8) presented by 10 generators and 24 short relations. For comparison, the smallest virtually simple group of [4,...
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Please see [1] for background on MV-algebras. We address the question, which MV-algebras have finite automorphism group. The automorphism group of the free MV-algebra on 1 generator is just the group of order 2 (folklore). In contrast, it is known that the automorphism group of the free MV-algebra on 2 generators is not even locally finite [4, 2]. Not much else seems to be known. Let us restric...
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ژورنال
عنوان ژورنال: International Journal of Algebra and Computation
سال: 2007
ISSN: 0218-1967,1793-6500
DOI: 10.1142/s021819670700369x