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.
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This author was supported by the NSF.
This author was supported by CNPq-Brazil.
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Guralnick, R., Shumyatsky, P. Derived subgroups of fixed points. Isr. J. Math. 126, 345–362 (2001). https://doi.org/10.1007/BF02784161
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DOI: https://doi.org/10.1007/BF02784161