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