On the converse of a theorem of Schur |
| |
Authors: | Deepak Gumber Hemant Kalra |
| |
Institution: | 1. School of Mathematics and Computer Applications, Thapar University, Patiala, 147 004, India
|
| |
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. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|