On certain homological invariant and its relation with Poincaré duality pairs

• Published in: Algebra and Discrete Mathematics
• Date: 2018
• ISSN: 1726-3255
• Main Authors: Andrade, M.G.C., Gazon, A.B., Lima A.F.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188357
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On certain homological invariant and its relation with Poincaré duality pairs / M.G.C. Andrade, A.B. Gazon, A.F. Lima // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 2. — С. 177–187. — Бібліогр.: 7 назв. — англ.

Let G be a group, S = {Sᵢ, i ∊ I} a non empty family of (not necessarily distinct) subgroups of infinite index in G and M a Z₂G-module. In [4] the authors defined a homological invariant E*(G, S,M), which is “dual” to the cohomological invariant E(G, S,M), defined in [1]. In this paper we present a...