Colonel Randers
New member
consequences of Philip Hall's Theorems? That is the 1928 Theorem, and the 1937 Theorem on finite solvable groups.
1928 Theorem: That if G is solvable, then there exists a subgroup of G for every n which divides |G| where n is coprime to |G|/n. (Moreover all Hall Subgroups of order n are conjugate).
1937 Theorem: Effectively the converse of the 1928 Theorem.
1928 Theorem: That if G is solvable, then there exists a subgroup of G for every n which divides |G| where n is coprime to |G|/n. (Moreover all Hall Subgroups of order n are conjugate).
1937 Theorem: Effectively the converse of the 1928 Theorem.