Abstract
Let A and G be finite groups of relatively prime orders and assume that A acts on G via automorphisms. We study how certain conditions on G imply its solvability when we assume the existence of a unique A-invariant Sylow p-subgroup for p equal to 2 or 3.
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This research is supported by Universitat Jaume I, Grant P11B2012-05, and by the Valencian Government, Proyecto PROMETEOII/2015/011.
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Beltrán, A. Invariant Sylow subgroups and solvability of finite groups. Arch. Math. 106, 101–106 (2016). https://doi.org/10.1007/s00013-015-0844-4
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DOI: https://doi.org/10.1007/s00013-015-0844-4