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What do Frobenius’s, Solomon’s, and Iwasaki’s theorems on divisibility in groups have in common ?
Our result contains as special cases the Frobenius theorem (1895) on the number of solutions to the equation x n = 1 in a group, the Solomon theorem (1969) on the number of solutions in a group to a system of equations having fewer equations than unknowns, and the Iwasaki …