Compute the subgroup lattice of a quotient of modular group of order 16
Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 3.3 Exercise 3.3.6 Let $M = \langle u,v \rangle$ be the modular group of order 16 described in Exercise…
Draw subgroup lattice of a quotient of quasi-dihedral group of order 16
Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 3.3 Exercise 3.3.5 Let $QD_{16} = \langle \sigma, \tau \rangle$ be the quasidihedral group of order 16 described in…
The Lattice Isomorphism Theorem
Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 3.3 Exercise 3.3.2 Prove all parts of the Lattice Isomorphism Theorem. Solution: Let $G$ be a group and $N…