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Title

SOME INEQUALITIES ON THE RELATIVE COMMUTATIVITY DEGREE

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Abstract

 LET G BE A FINITE GROUP WITH SUBGROUPS H, M AND CP(H,M) DENOTE THE PROBABILITY THAT AN ELEMENT OF H COMMUTES WITH AN ELEMENT OF M. IN THIS ARTICLE, WE GIVE SOME INEQUALITIES AND BOUNDS FOR CP(H,M), AND STUDY SOME OF THEIR CONSEQUENCES TOWARDS CHARACTERIZING THE PAIR (H,M) OF SUBGROUPS OF G.

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