A subgroup \(H\) of a group \(G\) is normal if
\(Hx=xH\) for some \(x\in G\)
\(Hx\neq xH\) for all \(x\in G\)
—>> \(H/xH\) for some \(x\in G\)
\(Hx=G\) for all \(x\in G\)
Tutors, Past Questions and Projects.
A subgroup \(H\) of a group \(G\) is normal if
\(Hx=xH\) for some \(x\in G\)
\(Hx\neq xH\) for all \(x\in G\)
—>> \(H/xH\) for some \(x\in G\)
\(Hx=G\) for all \(x\in G\)