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Apr
24
awarded  Nice Answer
Apr
10
comment Show $S_2 \cong Z_2$
I would suggest writing down the group table of any group of order $2$. It's a $2\times 2$ table so there are only $4$ entries to write down. My hint would be to use the existence of an identity (how many elements of the table does that determine?) and something else (of your choice) to determine the table, thus determining the group.
Mar
24
awarded  Guru
Mar
22
awarded  Nice Answer
Mar
16
comment I'm going to do a project on braid groups, and I'm looking for recommendations on books about braid groups.
Have a look at the book if you get the time, and please let me know (based on the table of contents) whether or not it seems suitable for your current interests. Otherwise, I can dig up some other references. I think having some basic knowledge of braid groups would be helpful in any case, no matter which direction you choose, and this book seems suitable for the purpose of acquiring a basic knowledge.
Mar
16
comment I'm going to do a project on braid groups, and I'm looking for recommendations on books about braid groups.
Hi @Auclair, thanks for updating your question! I think springer.com/us/book/9780387338415 is a very good reference for braid groups (containing some representation theory in the middle/later chapters). Note that there is a story regarding braid groups and knots and links, which is worth knowing, but not particularly relevant if you are primarily interested in representation theory in the short term. (This story allows you to use the representation theory of the braid group to define knot and link invariants.) Thus, you could omit most of Chapter 1 and all of Chapter 2.
Mar
16
comment I'm going to do a project on braid groups, and I'm looking for recommendations on books about braid groups.
What are you specifically interested in about braid groups and what is your background? I could try to offer suggestions based on that.
Mar
2
awarded  Good Answer
Feb
19
comment Which set is more dense: set of irrational numbers or set of rational numbers?
@SchrodingersCat No, that's correct.
Feb
12
awarded  Nice Answer
Feb
12
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