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In abstract algebra, group multiplication tables, also known as Cayley tables, are used to explore how groups behave differently from arithmetic numbers. These tables, like the ones used in arithmetic, show how to multiply different elements in a group. Arthur Cayley was the first to use these tables in a math paper. By studying a simple example of a group consisting of four elements, such as 1, -1, i, and -i, one can better understand how groups operate under multiplication.
