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

Результат исследования: Научные публикации в периодических изданияхстатья


Our result contains as special cases the Frobenius theorem (1895) on the number of solutions to the equation xn = 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 theorem (1985) on roots of subgroups. There are other curious corollaries on groups and rings.

Язык оригиналаанглийский
Страницы (с-по)437-452
Число страниц16
ЖурналPacific Journal of Mathematics
Номер выпуска2
СостояниеОпубликовано - окт 2019