Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


The stationary set of a group action

Author: Dennis Stowe
Journal: Proc. Amer. Math. Soc. 79 (1980), 139-146
MSC: Primary 57S20
MathSciNet review: 560600
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: If a point is stationary for a differentiable group action, M. Hirsch suggested that the vanishing of the first group cohomology at that point might imply stability of the point under perturbations of the action. This is proved for compactly generated Lie groups. Further implications of the cohomology condition are also proved.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 57S20

Retrieve articles in all journals with MSC: 57S20

Additional Information

PII: S 0002-9939(1980)0560600-2
Keywords: Topological group, group action, stability, semisimple Lie group, group cohomology
Article copyright: © Copyright 1980 American Mathematical Society