Prove the following two statements and conclude that the fundamental group of a (connected) topological group is abelian:

1) A discrete normal subgroup of a connected topological group is central. 30 more words

Prove the following two statements and conclude that the fundamental group of a (connected) topological group is abelian:

1) A discrete normal subgroup of a connected topological group is central. 30 more words

The last full week of 2017 was also a slow one for mathematically-themed comic strips. You can tell by how many bits of marginally relevant stuff I include. 584 more words

It’s time for our third and final proof of Fermat’s Little Theorem, this time using some group theory. This proof is probably the shortest—explaining this proof to a professional mathematician would probably take only a single sentence—but requires you to know some group theory as background. 390 more words

Hello Readers,

This is a “back to basics” blog. After all, not everyone has the high IQ necessary to enjoy Rick and Morty or my… 935 more words

This is a command that’s tough to Google even if you know it exists. To get GAP to describe a group with a common, human-readable name, you can use the… 20 more words

Two days ago, I gave a seminar talk on Chern‘s proof of the generalized Gauss-Bonnet theorem. Here I record the answer to a question asked by one of my colleague during the talk. 501 more words