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Linearity of dimension functions for semilinear |
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| Authors: | Ikumitsu Nagasaki |
| Affiliation: | Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka 560-0043, Osaka, Japan |
| Abstract: | In this paper, we show that the dimension function of every semilinear  -sphere is equal to that of a linear  -sphere for finite nilpotent groups  of order  , where  ,  are primes. We also show that there exists a semilinear  -sphere whose dimension function is not virtually linear for an arbitrary nonsolvable compact Lie group  . |
| Keywords: | Dimension function semilinear $G$-sphere homotopy representation |
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