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Questions about the branch of algebra that deals with groups.

2 votes
1 answer
142 views

Is there a maximum length of the chief series of $SL(n,q)$?

Motivation: I'm studying certain properties of conjugation in $SL(n,q)$. There's a nice number, a bit like a covering number, that one can associate with an arbitrary group. In writing a programme in …
Shaun's user avatar
  • 379
7 votes
1 answer
559 views

Do cyclically presented groups of positive word length four relators satisfy the Tits Altern...

I finished an MPhil a year ago that focused on the following question. I've moved on to a different area of group theory now, so I thought I'd ask it here. Definition: Let $w\in F_n$ for the free gro …
Shaun's user avatar
  • 379
0 votes
0 answers
182 views

How might someone with a background in group theory start research into topos theory?

The Question: How might an early career mathematician with a background of research in group theory start research into topos theory? I want links between the two areas, not career advice, though it …
Shaun's user avatar
  • 379
3 votes
0 answers
263 views

What is the latest progress on the Andrews-Curtis Conjecture?

Out of curiosity . . . What is the latest progress on the Andrews-Curtis Conjecture? What's available online seems limited. (See the Wikipedia article linked to above.) I found the following here: …
Shaun's user avatar
  • 379