Linearity of Dimension Functions for Semilinear G-spheres

نویسندگان

  • IKUMITSU NAGASAKI
  • Katsuo Kawakubo
چکیده

In this paper, we show that the dimension function of every semilinear G-sphere is equal to that of a linear G-sphere for finite nilpotent groups G of order pnqm, where p, q are primes. We also show that there exists a semilinear G-sphere whose dimension function is not virtually linear for an arbitrary nonsolvable compact Lie group G.

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تاریخ انتشار 2002