Ja n 20 06 Adding high powered relations to large groups : A short proof of Lackenby ’ s result
نویسندگان
چکیده
منابع مشابه
Adding High Powered Relations to Large Groups
It is a common theme in group theory that if a group G is quotiented by a sufficiently high power of an element g ∈ G, then properties of G are inherited by the quotient group. A major example of this phenomenon is the theorem of Gromov ([4], see also [2]) asserting that if G is torsion-free and word-hyperbolic, then G/〈〈g〉〉 is also word-hyperbolic for all sufficiently big integers n. In this p...
متن کاملLarge Groups and Their Periodic Quotients
We first give a short group theoretic proof of the following result of Lackenby. If G is a large group, H is a finite index subgroup of G admitting an epimorphism onto a non–cyclic free group, and g is an element of H, then the quotient of G by the normal subgroup generated by g n is large for all but finitely many n ∈ Z. In the second part of this note we use similar methods to show that for e...
متن کاملA SHORT PROOF OF A RESULT OF NAGEL
Let $(R,fm)$ be a Gorenstein local ring and$M,N$ be two finitely generated modules over $R$. Nagel proved that if $M$ and $N$ are inthe same even liaison class, thenone has $H^i_{fm}(M)cong H^i_{fm}(N)$ for all $iIn this paper, we provide a short proof to this result.
متن کامل/ 06 01 11 7 v 1 1 4 Ja n 20 06 A proof of the reggeized form of amplitudes with quark exchanges ⋆
A complete proof of the quark Reggeization hypothesis in the leading logarithmic approximation for any quark–gluon inelastic process in the multi–Regge kinematics in all orders of α s is given. First, we show that the multi–Regge form of QCD amplitudes is guarantied if a set of conditions on the Reggeon vertices and the trajectories is fulfilled. Then, we examine these conditions and show that ...
متن کاملA ] 2 8 Fe b 20 06 PRESENTING AFFINE q - SCHUR ALGEBRAS
We obtain a presentation of certain affine q-Schur algebras in terms of generators and relations. The presentation is obtained by adding more relations to the usual presentation of the quantized enveloping algebra of type affine gl n. Our results extend and rely on the corresponding result for the q-Schur algebra of the symmetric group, which were proved by the first author and Giaquinto.
متن کامل