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A recurring theme in science and mathematics is finding fundamental building blocks and exploring ways to combine them. In chemistry, atoms are the building blocks, with different types of bonds creating molecules. In number theory, prime numbers are the building blocks of integers, leading to unique factorizations. In group theory, simple groups are the building blocks of finite groups, which can be combined using direct product. This involves combining two groups, G-1 and G-2, into a larger group of pairs from each component.
