Homological stability for over a local ring

Author:
Stanisław Betley

Journal:
Trans. Amer. Math. Soc. **303** (1987), 413-429

MSC:
Primary 20G10; Secondary 11E72, 18G99, 19D55

DOI:
https://doi.org/10.1090/S0002-9947-1987-0896030-4

MathSciNet review:
896030

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a local ring, a free module over of rank and a bilinear form on which has in some basis the matrix . Let be the group of automorphisms of which preserve . We prove the following theorem: if is big enough with respect to then the inclusion homomorphism induces an isomorphism .

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1987-0896030-4

Keywords:
Spherical simplicial complex,
homology of a group

Article copyright:
© Copyright 1987
American Mathematical Society