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A recurring theme in science and mathematics is to find fundamental building blocks and study how they can be combined. In chemistry, atoms are the building blocks of matter, bonded together to form molecules. In number theory, primes are the building blocks of integers with unique factorization. In group theory, simple groups are the fundamental building blocks of finite groups, which can be combined using methods like the direct product. The direct product combines two groups, G-1 and G-2, into a larger group consisting of pairs from each group.
