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

Author(s): Wang Yanying; Wu Zhende; Ma Kai
Journal: Proc. Amer. Math. Soc. 128 (2000), 1515-1521.
MSC (1991): Primary 57S17; Secondary 57R85
Posted: August 3, 1999
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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.

References:

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P. E.Conner, Differentiable periodic maps,2nd ed. Springer Verlag,Berlin and New York, 1979. MR 81f:57018
2.
R. E. Stong, On fibering of cobordism classes,Trans.Amer.Math. Soc.,178(1973), 431-447.MR 47:4282
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R. J. Shaker,Jr. Constant codimension fixed sets of commuting involutions, Proc. Amer. Math. Soc., 121 (1994), 275-281.MR 94g:57040
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R. J.S haker, Jr. Dold manifolds with $(Z_{2})^{k}-$action, Proc. Amer. Math. Soc., 123 (1995) 955-958.MR 95d:57020
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C. Kosniowski & R. E. Stong, $(Z_{2})^{k}-$actions and characteristic numbers, Indiana Univ. Math. J., 28 (1979), 725-743.MR 81d:57027

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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: 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
Posted: August 3, 1999
Additional Notes: This work is supported by HNSF
Communicated by: Ralph Cohen
Copyright of article: Copyright 2000, American Mathematical Society

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