Abstract
A well-known theorem of I. Schur states that if G is a group and G/ζ(G) is finite then G′ is finite. We obtain an analogue of this, and theorems due to R. Baer and P. Hall, for groups G that have subgroups A of Aut(G) such that A/Inn(G) is finite.
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Dixon, M.R., Kurdachenko, L.A. & Pypka, A.A. On Some Variants of Theorems of Schur and Baer. Milan J. Math. 82, 233–241 (2014). https://doi.org/10.1007/s00032-014-0215-9
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DOI: https://doi.org/10.1007/s00032-014-0215-9