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Rational discrete first degree cohomology for totally disconnected locally compact groups
Mathematical Proceedings of the Cambridge Philosophical Society ( IF 0.741 ) Pub Date : 2018-10-12 , DOI: 10.1017/s0305004118000762
ILARIA CASTELLANO

It is well known that the existence of more than two ends in the sense of J.R. Stallings for a finitely generated discrete group G can be detected on the cohomology group H1(G,R[G]), where R is either a finite field, the ring of integers or the field of rational numbers. It will be shown (cf. Theorem A*) that for a compactly generated totally disconnected locally compact group G the same information about the number of ends of G in the sense of H. Abels can be provided by dH1(G, Bi(G)), where Bi(G) is the rational discrete standard bimodule of G, and dH(G, _) denotes rational discrete cohomology as introduced in [6].
更新日期:2020-04-20

 

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