TheR∞property for nilpotent quotients of surface groups
نویسندگان
چکیده
منابع مشابه
Maximal Nilpotent Quotients of 3-manifold Groups
We show that if the lower central series of the fundamental group of a closed oriented 3-manifold stabilizes then the maximal nilpotent quotient is a cyclic group, a quaternion 2-group cross an odd order cyclic group, or a Heisenberg group. These groups are well known to be precisely the nilpotent fundamental groups of closed oriented 3-manifolds.
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We show that every finitely generated nilpotent group of class 2 occurs as the quotient of a finitely presented abelian-by-nilpotent group by its largest nilpotent normal subgroup.
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There currently exists no algebraic algorithm for computing twisted conjugacy classes in free groups. We propose a new technique for deciding twisted conjugacy relations using nilpotent quotients. Our technique is a generalization of the common abelianization method, but admits significantly greater rates of success. We present experimental results demonstrating the efficacy of the technique, a...
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ژورنال
عنوان ژورنال: Transactions of the London Mathematical Society
سال: 2016
ISSN: 2052-4986
DOI: 10.1112/tlms/tlw002