- #1
mikael27
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Homework Statement
Let G be a group with identity e, and suppose that a, b, c, x in G.
Determine x, given that x2a=bxc-1 and acx = xac.
Homework Equations
The Attempt at a Solution
I know the three axioms for group.
G1. Associativity. For all a, b, c in G, (a * b) * c = a * (b * c).
G2. Identity. a * e = a = e * a.
G3. Inverses. a * b = e = b * a.
But how i will use the axioms to find x?