5,659 reputation
1241
bio website boolesrings.org/nickgill
location San Jose, Costa Rica
age 37
visits member for 4 years, 11 months
seen yesterday

I'm a visiting professor at the Universidad de Costa Rica.


Sep
24
comment A generalization of real characters on a group
+1 for the first sentence.
Sep
17
comment Normal subgroup of classical groups
@M.B Sorry, no idea. I don't know anything about the fields you describe...
Sep
10
comment Ends of Coxeter Groups
@YCor, of course your comment is entirely reasonable. There are plenty more results in the cited text that give more explicit information (see especially Thm. 8.7.3)... but I don't want to write them all out!
Sep
10
answered Ends of Coxeter Groups
Sep
10
comment Ends of Coxeter Groups
You can find some information on ends of Coxeter groups in this paper by Mihalik: sciencedirect.com/science/article/pii/0022404995001174
Sep
5
comment existence of a finite group which is the union of self normalizing subgroups
That's a cool fact about Carter subgroups. I didn't know about those.
Sep
5
awarded  Nice Answer
Sep
4
comment (Connected) Cayley graphs of PSL(2,q) from (2,3,n)-triples
It might help to give a little motivation also - why is this particular triple of elements of interest??
Sep
4
comment (Connected) Cayley graphs of PSL(2,q) from (2,3,n)-triples
what do you mean "there are elements of order $n$ in $G$, but not in any of its proper subgroups"? This will only be true when $G$ is cyclic of order $n$, but I guess you're still assuming $G=PSL(2,q)$... Perhaps you mean subspace subgroups??
Sep
4
reviewed Approve suggested edit on Trace inequality for matrices with determinant 1
Sep
4
revised Which finite simple groups can be characterized by their action on a small set?
Added a discussion of the general setting.
Sep
4
answered existence of a finite group which is the union of self normalizing subgroups
Sep
2
answered Which finite simple groups can be characterized by their action on a small set?
Sep
2
comment Which finite simple groups can be characterized by their action on a small set?
... By the way I have an e-copy of the LPS-memoir - email me if you want it....
Sep
2
comment Which finite simple groups can be characterized by their action on a small set?
.. I suspect this will be as small an action as one can hope for of the given type. To get the log bound in the question for a classical group of rank $n$, even for fixed $p$, one would need an action on a set of size polynomial in $n$ which is hopeless...
Sep
2
comment Which finite simple groups can be characterized by their action on a small set?
@GeoffRobinson, The work on factorizations that you mention is by Praeger, Liebeck and Saxl and is in Memoirs of AMS. It gives a classification of every maximal factorization of every almost simple group. A quick glance suggests that (for $n$ large enough), there are no factorizations of any classical group with $P_2$, the "second" parabolic group....
Sep
2
comment Recognize this strange expression from linear algebra?
Two amusing new tags, nice one.
Sep
1
awarded  Civic Duty
Aug
28
revised Generalization of a theorem of Øystein Ore in group theory
deleted 159 characters in body
Aug
28
answered Generalization of a theorem of Øystein Ore in group theory