Normal Subgroups — Study Resources & PYQs
Normal subgroups and their properties.
- Estimated study time: 30 minutes
Study resources
- Normal subgroups and factor groups - DPMMS (Cambridge) (PDF) — Defines a normal subgroup, shows why cosets of a normal subgroup form a group, and constructs the factor (quotient) group.
Normal Subgroups previous year questions
- (a) Define Centre of Group. Show that Centre of a group G is a normal subgroup of G. (b) Prove that a commutative ring with unity is an integral domain iff can…
- (a) Prove that a ring $R$ is without zero divisors iff cancelation laws hold in it. (b) Let $f:G \to G'$ be a group homomorphism. Then show that kernel of $f$…
Taught in these subjects
- Discrete Mathematics — BST8401 · Government College of Engineering and Technology, Jammu