Jacob

Unregistered less info
161 reputation
13
bio website
location
age
visits member for 2 years, 9 months
seen Nov 4 '11 at 8:54

Dec
5
awarded  Popular Question
May
29
awarded  Good Question
Nov
4
comment Attitude towards exercises in mathematics
Thanks for all the helpful responses guys!
Nov
4
awarded  Nice Question
Nov
3
comment Attitude towards exercises in mathematics
Here are some of them: -If $G$ is a group and $H,K$ are two subgroups of finite index in $G$, prove that $H\cap K$ is of finite index in $G$. -If an abelian group has subgroups of orders $m$ and $n$, respectively, then show it has a subgroup whose order is the least common multiple of $m$ and $n$. -If $N$ is a normal subgroup in the finite group such that $i_G(N)$ and $o(N)$ are relatively prime, show that any element of $x\in G$ satisfying $x^{o(N)}=e$ must be in $N$. I've found the solutions now, though, except for the second one which seems to require something beyond what I've learned.
Nov
3
comment Attitude towards exercises in mathematics
I'm working on Herstein's Topics in Algebra
Nov
3
awarded  Student
Nov
3
asked Attitude towards exercises in mathematics