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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

$(Z_2)^k$-actions with fixed point set
of constant codimension $2^k+1$


Authors: Wang Yanying, Wu Zhende and Ma Kai
Journal: Proc. Amer. Math. Soc. 128 (2000), 1515-1521
MSC (1991): Primary 57S17; Secondary 57R85
Published electronically: August 3, 1999
MathSciNet review: 1646211
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Abstract | References | Similar Articles | Additional Information

Abstract: The groups $J_{n,k}^{2^k+1}$ of cobordism classes in the unoriented cobordism group $MO_n$ containing a representative $M^n$ admitting a $(Z_2)^k$-action with fixed point set of constant codimension $2^k+1$ are determined.


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Additional Information

Wang Yanying
Affiliation: Department of Mathematics, Hebei Normal University, Shijiazhuang 050016, People’s Republic of China
Email: wang-yanying@263.net

Wu Zhende
Affiliation: Department of Mathematics, Hebei Normal University, Shijiazhuang 050016, People’s Republic of China

Ma Kai
Affiliation: Department of Mathematics, Hebei Normal University, Shijiazhuang 050016, People’s Republic of China

DOI: http://dx.doi.org/10.1090/S0002-9939-99-05223-5
PII: S 0002-9939(99)05223-5
Keywords: Indecomposable cobordism class, fixed point set, projective space bundle, $(Z_{2})^k$-action
Received by editor(s): June 3, 1997
Received by editor(s) in revised form: June 19, 1998
Published electronically: August 3, 1999
Additional Notes: This work is supported by HNSF
Communicated by: Ralph Cohen
Article copyright: © Copyright 2000 American Mathematical Society