Artículos de revistas
Profinite completions of orientable Poincare duality groups of dimension four and Euler characteristic zero
Registro en:
Groups Geometry And Dynamics. European Mathematical Soc, v. 3, n. 3, n. 401, n. 421, 2009.
1661-7207
WOS:000267357500004
Autor
Kochloukova, DH
Institución
Resumen
Let p be a prime number, T a class of finite groups closed under extensions, subgroups and quotients, and suppose that the cyclic group of order p is in T. We find some sufficient and necessary conditions for the pro- T completion of an abstract orientable Poincare duality group G of dimension 4 and Euler characteristic 0 to be a profinite orientable Poincare duality group of dimension 4 at the prime p with Euler p-characteristic 0. In particular we show that the pro- p completion (G) over cap (p) of G is an orientable Poincare duality pro- p group of dimension 4 and Euler characteristic 0 if and only if G is p-good. 3 3 401 421