On four-dimensional $h$-cobordism
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- by Sławomor Kwasik PDF
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Abstract:
The influence of the Poincaré Conjecture on the following problem of M. Cohen is examined. Problem. Does there exist a four-dimensional $h$-cobordism with nontrivial Whitehead torsion? It is proved (assuming the Poincarè Conjecture) that none of the following groups may be the fundamental group of a $4$-dimensional $h$-corbordism with nontrivial Whitehead torsion: generalized quaternion groups, cyclic groups ${Z_8}$, ${Z_{12}}$, the binary octahedral group, the binary tetrahedral group.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 97 (1986), 352-354
- MSC: Primary 57R80; Secondary 57N13, 57S17
- DOI: https://doi.org/10.1090/S0002-9939-1986-0835897-7
- MathSciNet review: 835897