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Linearity of Dimension Functions for Semilinear G-Spheres

Ikumitsu Nagasaki
Proceedings of the American Mathematical Society
Vol. 130, No. 6 (Jun., 2002), pp. 1843-1850
Stable URL: http://www.jstor.org/stable/2699780
Page Count: 8
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Linearity of Dimension Functions for Semilinear G-Spheres
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Abstract

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 pnq m, 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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