bio | website | boolesrings.org/nickgill |
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location | San Jose, Costa Rica | |
age | 37 | |
visits | member for | 4 years, 11 months |
seen | yesterday | |
stats | profile views | 1,742 |
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 |
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Normal subgroup of classical groups
@M.B Sorry, no idea. I don't know anything about the fields you describe... |
Sep 10 |
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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 |
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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 |
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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 |
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(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 |
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(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 |
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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 |
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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 |
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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 |
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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 |