A NOTE ON FREE ACTIONS OF GROUPS ON PRODUCTS OF SPHERES

作者:Jo Jang Hyun*; Lee Jong Bum
来源:Bulletin of the Australian Mathematical Society, 2013, 88(2): 340-344.
DOI:10.1017/S0004972713000130

摘要

It has been conjectured that if G = (Z(p))(r) acts freely on a finite CW-complex X which is homotopy equivalent to a product of spheres S-n1 X S-n2 X ... X S-nk, then r %26lt;= k. We address this question with the relaxation that X is finite-dimensional, and show that, to answer the question, it suffices to consider the case where the dimensions of the spheres are greater than or equal to 2.

  • 出版日期2013-10

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