1 citations · 1 across the 2 of their papers we have counts for
3 papers
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…
math.GR2020★ 1 cited
On the number of epi-, mono-, and homomorphisms of groups
Elena K. Brusyanskaya, Anton A. Klyachko
It is known that the number of homomorphisms from a group to a group is divisible by the greatest common divisor of the order of and the exponent of . We inves…
math.GR2018
What do Frobenius's, Solomon's, and Iwasaki's theorems on divisibility in groups have in common?
Elena K. Brusyanskaya, Anton A. Klyachko, Andrey V. Vasil'ev
Our result contains as special cases the Frobenius theorem (1895) on the number of solutions to the equation in a group, the Solomon theorem (1969) on the number of solutio…