Well-Ordering Dan Transversal Schreier Pada F Dalam Grup Bebas

Henry Junus Wattimanela

Abstract


A group F is called free if it has a subset X with the property that every element of F can be written uniquely is a product of elements of X and their property. A partial ordering on an abstract set S is a binary relation < (less than) on the elements of , and a well-ordering if the following stronger condition hold: irreflexive, transitive, the law of trichotomy, and every non-empty subset of S contains a least element. The other side, a Schreier transversal for H in F is a (right) transversal for H with the Schreier property. Every Scherier set, and thus every Schreier transversal, contains the empty word e. The aim of this paper is discuss about well-ordering and Schreier transversal on F in free group.