HOMEWORKS
Homework 2
Find all groups which have exactly
1) one subgroup;
2) two subgroups;
3) three subgroups.
Homework 9
Prove that \([[S_3,S_3],[S_3,S_3]]\) is trivial.
Homework 14
Give an example of a noncommutative ring with a nontrivial commutative quotient.
Homework 16
Prove that if \(I, J\) are ideals in a ring \(R\), then \(I + J\) is an ideal in
\(R\).
Created: Tue Feb 22 2022
Last modified: Tue Apr 1 2025 18:49:57 CEST