AN EMBEDDING OF A G-LOOP INTO A GROP

V O CHIBOKA

Abstract


The purpose of this paper is to give a construction which shows that a G-loop can be embedding into a group. This is achieved by employing the group of the loop (the Bryant-Schneider group), which is a subgroup of the symmetric group on the loop. When the loop is conjugacy closed, we obtain the multiplication group.

 


Keywords


subgroup,symmetric

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