Abstract
A well known theorem of Schur states that for any group G, if G/Z(G) is finite, then G′ is finite. We give a very short and elementary proof of a further generalization of the converse of Schur’s theorem proved by Niroomand [5] and Sury [7] and also improve the bound for the order of G/Z(G) obtained by Niroomand and Sury.
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Gumber, D., Kalra, H. On the converse of a theorem of Schur. Arch. Math. 101, 17–20 (2013). https://doi.org/10.1007/s00013-013-0530-3
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DOI: https://doi.org/10.1007/s00013-013-0530-3