Do try out this Free Career Guidance Personality Test at https://career-test.com/s/sgamb?reid=210 while it is still available!

Benefits of doing the (Free) Career Test:

- Get familiar with the top companies in Singapore… 147 more words

Do try out this Free Career Guidance Personality Test at https://career-test.com/s/sgamb?reid=210 while it is still available!

Benefits of doing the (Free) Career Test:

- Get familiar with the top companies in Singapore… 147 more words

A refresher from last week: **If a group G acts on a proper geodesic metric space X properly discontinuously and cocompactly by isometries, then G is quasi-isometric to X. ** 912 more words

*Sylow’s theorems* in finite group theory are generalizations of *Cauchy’s theorem*. There are several proofs of Sylow’s theorem, but I especially like the ones that are based on the ideas of… 990 more words

*Cauchy’s theorem* in finite group theory states that if , the order of a group , is divisible by a prime , then the group contains an element of order . 391 more words

I love the phrase “THE fundamental theorem of…” It’s so over the top and hyperbolic, which is unlike most mathematical writing you’ll run into. So you know that it’s important if you run into… 1,072 more words

Let G be a p-group and H a nontrivial normal subgroup. Prove that is nontrivial.

Let G act on H by conjugation. Since H is a normal subgroup, this is a well-defined group action since for all . 36 more words

My parents gave me a Rubik’s Cube for my tenth birthday along with a very friendly-looking guide on solving it. Not too soon afterwards, I decided to learn how to solve it. 2,560 more words