Group Theory Lecture 21: More on Solvable Group
In this session we proved that quotient group of a solvable group is solvable, if a normal subgroup N of a group G and G/N are solvable, then G is solvable. Also we prove a p-group is solvable, a group of order pq and p^2q are solvable. Also if H and K are solvable normal subgroups of a group G, then HK is solvable.