Abstract
In this chapter we study the periodic (that is, torsion) subgroups of GL(n, F). For most of the chapter we are interested in the conjugacy of the maximal π-subgroups in various situations. For example we prove extensions of the Sylow and Schur-Zassenhaus Theorems to the class of periodic linear groups. Then we study serial subgroups of periodic linear groups and (briefly) simple periodic linear groups. The chapter closes with a proof of the finiteness of rational and p-adic periodic linear groups.
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© 1973 Springer-Verlag Berlin Heidelberg
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Wehrfritz, B.A.F. (1973). Periodic Linear Groups. In: Infinite Linear Groups. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 76. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-87081-1_9
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DOI: https://doi.org/10.1007/978-3-642-87081-1_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-87083-5
Online ISBN: 978-3-642-87081-1
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