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http://hdl.handle.net/10266/2084| Title: | Some Remarks on Conjugate Closed Groups |
| Authors: | Verma, Tina |
| Supervisor: | Gumber, Deepak |
| Keywords: | Conjugate closed group;Semi-simple group |
| Issue Date: | 27-Sep-2012 |
| Abstract: | Conjugate closed groups, which are briefly called CC − Groups, form a proper subclass of T − Groups. We prove that if G = Z(G) × H, then G is conjugate closed if and only if H is conjugate closed. We also show that a finite group G is semisimple, conjugate closed and perfect if and only if it is a direct product of non-abelian and simple groups. |
| Description: | Master of Science (Mathematics and Computing) |
| URI: | http://hdl.handle.net/10266/2084 |
| Appears in Collections: | Masters Theses@SOM |
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