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20182023
most citedWhat do Frobenius's, Solomon's, and Iwasaki's theorems on divisibility in groups have in common?

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math.GR2023

On the number of tuples of group elements satisfying a first-order formula

Elena K. Brusyanskaya

Our result contains as special cases the Frobenius theorem (1895) on the~number of solutions to the equation in a finite group and the Solomon theorem (1969) on the number…