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Questions about the branch of algebra that deals with groups.

6 votes
1 answer
827 views

Testing permutations to see if they generate $S_n$

Alright, so a similar question was recently asked about the theoretical bound for generating certain permutations in polynomial time. I had been thinking about a related problem in algorithms (with a …
dvitek's user avatar
  • 1,723
15 votes

Does the hypergraph structure of the set of subgroups of a finite group characterize isomorp...

The modular group of order 16 and the group C8 x C2 have the same subgroup lattice. Does this provide a counterexample to what you are trying to prove? Reference: http://www.opensourcemath.org/gap/s …
dvitek's user avatar
  • 1,723
11 votes

Introductory text on geometric group theory?

For a very introductory text to a wide range of subfields, there is Office Hours with a Geometric Group Theorist, edited by Matt Clay and Dan Margalit. (Here is the table of contents for a quick peek …