12,146 reputation
21752
bio website
location Monkey Island, OK
age
visits member for 2 years, 3 months
seen 5 hours ago

Hello, I am a freshman at The National Autonomous University of Mexico (UNAM).

My interests are contest problems,elementary number theory, combinatorics, graph theory, linear algebra, group theory, abstract algebra and I have been meaning to learn category theory and matroids.


Aug
27
asked every Abelian group is a converse lagrange theorem group
Aug
26
revised Stair flight problem
added 174 characters in body
Aug
26
revised Stair flight problem
added 174 characters in body
Aug
26
answered Stair flight problem
Aug
26
comment If $G/K\cong H/K$ must $G\cong H$?
yes, this lesson has served me well, in this case these where very easy to understand, however I seem to have some trouble with other examples since I'm taking many of the courses from which the examples come simultaneously.
Aug
26
revised Does $G$ always have a subgroup isomorphic to $G/N$?
deleted 12 characters in body
Aug
26
accepted If $G/K\cong H/K$ must $G\cong H$?
Aug
25
comment Does $G$ always have a subgroup isomorphic to $G/N$?
Haha, sorry Dan, I'm not really sure what I should do, should I find a quotient which gives me an element of order smaller than I could find in the group?
Aug
25
comment If $G/K\cong H/K$ must $G\cong H$?
Thanks, does this have to do with the extension problem?
Aug
25
comment If $G/K\cong H/K$ must $G\cong H$?
oh lol, I can't believe I didn't think of that. since both are abelian $C_2$ is normal to both, also the quotient is of prime order so it is $C_2$ right? thanks.
Aug
25
comment Does $G$ always have a subgroup isomorphic to $G/N$?
thank you, am I correct that there can't be a finite abelian counterexample?
Aug
25
accepted Does $G$ always have a subgroup isomorphic to $G/N$?
Aug
25
comment If $G/K\cong H/K$ must $G\cong H$?
G and H both contain K.
Aug
25
comment How many ways to do choose $\leq 10$ from $5$ sets of $30$ objects.
I don't understand where the fact they come in 5 sets matters? would it be the same if the 150 objects came together?
Aug
25
asked If $G/K\cong H/K$ must $G\cong H$?
Aug
25
comment Does $G$ always have a subgroup isomorphic to $G/N$?
hmm, sorry if I'm coming off as a major noob, but doesn't the fundamental theorem of abelian groups imply any finite examples must be non-abelian?
Aug
25
comment Does $G$ always have a subgroup isomorphic to $G/N$?
nice, thanks, I would also like an example in finite groups though
Aug
25
asked Does $G$ always have a subgroup isomorphic to $G/N$?
Aug
23
accepted every group over the sets of a partition of a goup is well defined.
Aug
23
asked every group over the sets of a partition of a goup is well defined.