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age 33
visits member for 3 years, 10 months
seen Nov 19 at 0:00
Right now, I'm a math grad student at the University of Miami.

Nov
18
comment What makes the amenability of Thompsons group $F$ such a tricky problem?
The amenability of Thompson's group does not appear to be an isolated instance of this. The complexity of graph isomorphism is somewhat similar, and led the author of this paper to use the term "disease": onlinelibrary.wiley.com/doi/10.1002/jgt.3190010410/pdf So now write 'The Thompson Group Amenability Disease' or something like that? And maybe 'The Jacobian Conjecture Disease' while we're at it? What other examples of 'diseases' are out there?
Nov
18
answered Why do Bernoulli numbers arise everywhere?
Sep
24
awarded  Autobiographer
Sep
11
comment In what sense is the classification of all finite groups “impossible”?
I had the arxiv link in mind.
Sep
10
comment In what sense is the classification of all finite groups “impossible”?
1. Can we make that expository paper about wild linear algebra problems community wiki? 2. Speaking of wildness and computational complexity, how do those problems behave when the field of interest is finite? Simultaneous conjugacy of ordered pairs of matrices is, for example, obviously in NP.
Sep
6
comment What are smallest finite images of triangle groups?
It is worth noting that there are finite simple groups whose simplicity cannot be proved this way. Since the $(2,3,5)$ triangle group is isomorphic to $A_{5}$, $A_{6}$ and $PSU_{4}(2)$ cannot be proven simple this way. I am not sure if there are any other examples.
Jul
7
answered Variations to Cayley's Embedding Theorem for Groups
Jul
6
accepted Subgroup property stronger than being characteristic
Jul
3
revised Subgroup property stronger than being characteristic
"without having" --> "instead of having" because "<
Jul
3
answered Fantastic properties of Z/2Z
Jul
3
comment Subgroup property stronger than being characteristic
Geoff, I am impressed by the nontrivial extent to which you read my mind -- I did not know the Thompson subgroup always did this, but I was trying to get a better handle on some local analysis.
Jul
2
asked Subgroup property stronger than being characteristic
Jul
2
awarded  Curious
Jun
20
awarded  Popular Question
May
27
awarded  Enlightened
May
27
awarded  Nice Answer
May
1
comment Non-trivial consequences of Baer's theorem and Lucchini's theorem in subnormality theory
A nice consequence I've encountered of the Baer-Suzuki theorem:
Apr
24
answered Results about the existence of solutions in groups
Apr
17
answered Variations to Cayley's Embedding Theorem for Groups
Apr
8
comment Conjugation Quandles and… “Quandle-Groups”? From quandles to Groups
I am not sure how well this pans out, but the natural group to start working from would be the subgroup of $S_{|Q|}$ generated by actions of elements of $Q$ on $Q$.