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Information Seminar Paper

Title

ON 12 AND 13-DECOMPOSABLE FINITE GROUPS

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Abstract

 LET G BE A FINITE GROUP AND NG DENOTE THE SET OF ALL NON-TRIVIAL PROPER NORMAL SUBGROUPS OF G.AN ELEMENT K OF NG IS SAID TO BE N-DECOMPOSABLE IF K IS A UNION OF N DISTINCT CONJUGACY CLASSES OF G. G IS CALLED N- DECOMPOSABLE, IF NG ¹0 AND EVERY ELEMENT OF NG IS N- DECOMPOSABLE.IN THIS PAPER, THE PROBLEM OF FINDING THE STRUCTURE OF NON- SOLVABLE NON-PERFECT 12 AND 13 - DECOMPOSABLE FINITE GROUPS ARE CONSIDERED INTO ACCOUNT.

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