A note about splittings of groups and commensurability under a cohomological point of view

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2010
• Hauptverfasser: Maria Gorete Carreira Andrade, Ermınia de Lourdes Campelloi Fanti
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2010
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/154500
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: A note about splittings of groups and commensurability under a cohomological point of view / Maria Gorete Carreira Andrade, Ermınia de Lourdes Campelloi Fanti // Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 2. — С. 1–10. — Бібліогр.: 13 назв. — англ.

Let G be a group, let S be a subgroup with infinite index in G and let FSG be a certain Z2G-module. In this paper, using the cohomological invariant E(G,S,FSG) or simply E~(G,S) (defined in [2]), we analyze some results about splittings of group G over a commensurable with S subgroup which are rela...