Math: Abelian (need help)?

2 ⤊

Let G be a group with the following propert: Whenever a,b and c belong to G and aba = ca, then b = c. Prove that G is Abelian.

2007-02-02 09:44:44 · 2 answers · asked by VT 1 in Science & Mathematics ➔ Mathematics

I'm not sure your statement is quite right... saying that aba=ca => b=c means that a=1, identically.

2007-02-02 12:33:37 · answer #1 · answered by ya_tusik 3 · 0⤊ 0⤋

aba= ca => ab=c since we can multiply from the right by a^{-1}
so your statement is not quite right.... .

2007-02-02 21:15:03 · answer #2 · answered by tablecloth 1 · 2⤊ 1⤋