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Homological stability for On,n over semi-local rings

Published online by Cambridge University Press:  18 May 2009

Stanislaw Betley
Stanislaw Betley
Affiliation:
Wydzial Matematyki Uniwersytetu WarszawskiegoInstytut Matematyki PkinIX p. 00–901 Warszawa Poland
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Let R be a commutative, semi-local ring. Let On,n be the group of linear automorphisms of R2n which preserve the bilinear form . The main result of this paper is the following theorem.

Theorem A. The natural inclusion of Onn into On,n into On+1,n+1induces an isomorphism on the ith homology group if only n is large enough with respect to i.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 32 , Issue 2 , May 1990 , pp. 255 - 259
Copyright
Copyright © Glasgow Mathematical Journal Trust 1990

References

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