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• W2962724833 abstract "Abstract 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 H 1 ( 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 dH 1 ( 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]. As a consequence one has that the class of fundamental groups of a finite graph of profinite groups coincides with the class of compactly presented totally disconnected locally compact groups of rational discrete cohomological dimension at most 1 (cf. Theorem B)." @default.
• W2962724833 created "2019-07-30" @default.
• W2962724833 creator A5071853555 @default.
• W2962724833 date "2018-10-12" @default.
• W2962724833 modified "2023-10-11" @default.
• W2962724833 title "Rational discrete first degree cohomology for totally disconnected locally compact groups" @default.
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• W2962724833 doi "https://doi.org/10.1017/s0305004118000762" @default.
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