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- W4292416061 abstract "We establish a splitting theorem for one-ended groups H<G such that tilde{e}(G;H)> 2 and the almost malnormal closure of H is a proper subgroup of G. This yields splitting theorems for groups G with non-trivial first l^2 Betti number (beta^2_1(G)). We verify the Kropholler Conjecture for pairs H < G satisfying beta^2_1(G) > beta^2_1(H). We also prove that every n-dimensional Poincare duality (PD^n) group containing a PD^(n-1) group H with property (T) splits over a subgroup commensurable with H." @default.
- W4292416061 created "2022-08-20" @default.
- W4292416061 creator A5084979599 @default.
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- W4292416061 date "2010-03-11" @default.
- W4292416061 modified "2023-09-24" @default.
- W4292416061 title "Relative Ends, l^2 Invariants and Property (T)" @default.
- W4292416061 doi "https://doi.org/10.48550/arxiv.1003.2370" @default.
- W4292416061 hasPublicationYear "2010" @default.
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