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What is Socks-Shoes Property in Group Theory about?
1) In a group G, the inverse of the product of two elements ab is the product of their inverses in reverse order, or (ab)-1 = b-1a-1. 2) A group G is Abelian if and only if the inverse of the product of any two elements a and b is the product of their inverses in reverse order, or (ab)-1 = a-1b-1 for all a, b in G.
- Author
- Tawafuq Fm
- Language
- EN