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8 papers · 2 filters
Representation zeta functions of some compact p-adic analytic groups
Nir Avni, Benjamin Klopsch, Uri Onn +1
Using the Kirillov orbit method, novel methods from p-adic integration and Clifford theory, we study representation zeta functions associated to compact p-adic analytic groups. In…
Cohomological finiteness properties of the Brin-Thompson-Higman groups 2V and 3V
Dessislava H. Kochloukova, Conchita Martinez-Perez, Brita E. A. Nucinkis
We show that Brin's generalisations and of the Thompson-Higman group are of type . Our methods also give a new proof that both groups are finitely presente…
The Dehn function of Baumslag's Metabelian Group
Martin Kassabov, Tim Riley
Baumslag's group is a finitely presented metabelian group with a Z \wr Z subgroup. There is an analogue with an additional torsion relation in which this subgroup becomes C_m \wr Z…
Quasi-ideal transversals of abundant semigroups and spined products
Jehan Al-Bar, James Renshaw
We provide a new and much simpler structure for quasi-ideal adequate transversals of abundant semigroups in terms of spined products, which is similar in nature to that given by Sa…
Adequate transversals of quasi-adequate semigroups
Jehan Al-Bar, James Renshaw
The concept of an adequate transversal of an abundant semigroup was introduced by El-Qallali in [8] whilst in [7], he and Fountain initiated the study of quasi-adequate semigroups…
Relative Ends, l^2 Invariants and Property (T)
Aditi Kar, Graham A. Niblo
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 theorem…