Derived subgroups of fixed points |
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| Authors: | Robert Guralnick Pavel Shumyatsky |
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| Institution: | (1) Department of Mathematics, University of Southern California, 90089-1113 Los Angeles, CA, USA;(2) Department of Mathematics, University of Brasilia, 70910-900 Brasilia-DF, Brazil |
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| Abstract: | LetA be an elementary abelianq-group acting on a finiteq′-groupG. We show that ifA has rank at least 3, then properties ofC
G(a)′, 1 ≠a ∈A restrict the structure ofG′. In particular, we consider exponent, order, rank and number of generators.
This author was supported by the NSF.
This author was supported by CNPq-Brazil. |
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