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Can I read Subgroups of pro-p $$PD ^3$$-groups on EtoBox?
Subgroups of pro-p $$PD ^3$$-groups by I. Castellano; P. Zalesskii is a Mathematics article available to read on EtoBox.
What is Subgroups of pro-p $$PD ^3$$-groups about?
We study 3-dimensional Poincaré duality prop groups in the spirit of the work by Robert Bieri and Jonathan Hillmann, and show that if such a prop group G has a nontrivial finitely presented subnormal subgroup of infinite index, then either the subgroup is cyclic and normal or the subgroup is cyclic and the group is polycyclic or the subgroup is Demushkin and normal in an open subgroup of G. Also, we describe the centralizers of finitely generated subgroups of 3-dimensional Poincaré duality prop groups. ## Mathematics Subject Classification 20E18 In algebraic topology, Poincaré duality theorem expresses the symmetry between the homology and cohomology of closed orientable manifolds. The notion of a Poincaré duality group of dimension n (or PD n -group, for short) originates as a purely algebraic analogue of the notion of an n-manifold group, that is, the fundamental group of an Communicated by Adrian Constantin.
Who reads Subgroups of pro-p $$PD ^3$$-groups?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- I. Castellano; P. Zalesskii
- Publisher
- Springer Science and Business Media LLC
- Published
- 2021
- Language
- EN
- Field
- Mathematics (Physical Sciences)