Linearity of dimension functions for semilinear 𝐺-spheres

Nagasaki, Ikumitsu

doi:10.1090/S0002-9939-02-06512-7

Linearity of dimension functions for semilinear -spheres

Author: Ikumitsu Nagasaki
Journal: Proc. Amer. Math. Soc. 130 (2002), 1843-1850
MSC (2000): Primary 57S25; Secondary 57S15, 57S17
DOI: https://doi.org/10.1090/S0002-9939-02-06512-7
Published electronically: January 25, 2002
MathSciNet review: 1887033
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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 .

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