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Rigidity of trivial actions of abelian-by-cyclic groups
Author(s):
Anne
E.
McCarthy
Journal:
Proc. Amer. Math. Soc.
138
(2010),
1395-1403.
MSC (2000):
Primary 37-XX
Posted:
November 10, 2009
MathSciNet review:
2578531
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Additional information
Abstract:
Let  denote the abelian-by-cyclic group associated to an integer-valued, non-singular matrix  . We show that if  has no eigenvalues of modulus one, then there are no faithful  perturbations of the trivial action  , where  is a compact manifold.
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Additional Information:
Anne
E.
McCarthy
Affiliation:
Department of Mathematics, Fort Lewis College, Durango, Colorado 81301
DOI:
10.1090/S0002-9939-09-10173-9
PII:
S 0002-9939(09)10173-9
Received by editor(s):
January 29, 2009,
Received by editor(s) in revised form:
August 4, 2009
Posted:
November 10, 2009
Communicated by:
Jane M. Hawkins
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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