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A note about splittings of groups and commensurability under a cohomological point of view
Репозиторій DSpace/Manakin
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A note about splittings of groups and commensurability under a cohomological point of view
Інший ID:
2000 Mathematics Subject Classification:20J05, 20J06; 20E06
Посилання:
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.
Підтримка:
The authors participate of Project Number 04/10229-6 - supported by FAPESP.The first author is also partially supported by MEC-SESu
Дата:
2010
Переглядів:
406
Завантажень:
165
Анотація:
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 related with the algebraic obstruction ``singG(S)" defined by Kropholler and Roller ([8]. We conclude that E~(G,S) can substitute the obstruction ``singG(S)" in more general way. We also analyze splittings of groups in the case, when G and S satisfy certain duality conditions.
