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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)
Appears in Collections:Masters Theses@SOM

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