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On the Segal conjecture for $ Z\sb{2}\times Z\sb{2}$


Author: Donald M. Davis
Journal: Proc. Amer. Math. Soc. 83 (1981), 619-622
MSC: Primary 55Q55; Secondary 55T15
DOI: https://doi.org/10.1090/S0002-9939-1981-0627705-X
MathSciNet review: 627705
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Abstract: The Segal conjecture regarding the Burnside ring and stable cohomotopy of a finite group $ G$ is reduced for the case $ G = {Z_2} \times {Z_2}$ to a statement about Ext groups. This statement has since been proved by H. Miller, J. F. Adams and J. H. C. Gonawardena.


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DOI: https://doi.org/10.1090/S0002-9939-1981-0627705-X
Keywords: Segal conjecture, stable cohomotopy groups, Burnside ring
Article copyright: © Copyright 1981 American Mathematical Society

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