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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 …
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 …
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 …
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:
…