2 papers
math.GR2025
Extensions of a theorem of P. Hall on indexes of maximal subgroups
Antonio Beltrán, Changguo Shao
We extend a classical theorem of P. Hall that claims that if the index of every maximal subgroup of a finite group is a prime or the square of a prime, then is solvable. Pr…
math.GR2025
Indices of non-supersolvable maximal subgroups in finite groups
Antonio Beltrán, Changguo Shao
Two classic results, due to K. Doerk and P. Hall respectively, establish the solvability of those finite groups all of whose maximal subgroups are supersolvable, and the solvabilit…