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pro vyhledávání: '"Guralnick, R. P."'
Autor:
Guralnick, R. M., Lawther, R.
This is the second of two papers treating faithful actions of simple algebraic groups on irreducible modules and on the associated Grassmannian varieties; in the first paper we considered the module itself and its projective space, while here we hand
Externí odkaz:
http://arxiv.org/abs/1904.13382
Autor:
Guralnick, R. M., Lawther, R.
In this paper we treat faithful actions of simple algebraic groups on irreducible modules and on the associated Grassmannian varieties. By explicit calculation, we show that in each case, with essentially one exception, there is a dense open subset a
Externí odkaz:
http://arxiv.org/abs/1904.13375
Akademický článek
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Publikováno v:
Systematic Biology, 2020 Sep 01. 69(5), 813-819.
Externí odkaz:
https://www.jstor.org/stable/26939615
Autor:
Guralnick, R. P.1 (AUTHOR) rguralnick@flmnh.ufl.edu, Campbell, L. P.2 (AUTHOR), Belitz, M. W.1 (AUTHOR)
Publikováno v:
Communications Biology. 5/5/2023, Vol. 6 Issue 1, p1-9. 9p.
If a finite group G has a presentation with d generators and r relations, it is well-known that r - d is at least the rank of the Schur multiplier of G; a presentation is called efficient if equality holds. There is an analogous definition for profic
Externí odkaz:
http://arxiv.org/abs/0905.0256
All nonabelian finite simple groups of rank $n$ over a field of size $q$, with the possible exception of the Ree groups $^2G_2(3^{2e+1})$, have presentations with at most $80 $ relations and bit-length $O(\log n +\log q)$. Moreover, $A_n$ and $S_n$ h
Externí odkaz:
http://arxiv.org/abs/0804.1396
Autor:
Guralnick, R., Roehrle, G
The goal of this note is to classify the weakly closed unipotent subgroups in the split Chevalley groups. In an application we show under some mild assumptions on the characteristic that the Lie algebra of a connected simple algebraic group fails to
Externí odkaz:
http://arxiv.org/abs/math/0511440
Publikováno v:
J. Algebra 300 (2006), 363-375
We prove that the solvable radical of a finite group G coincides with the set of elements y having the following property: for any x in G the subgroup of G generated by x and y is solvable. We present analogues of this result for finite dimensional L
Externí odkaz:
http://arxiv.org/abs/math/0504176
Let $K$ be a global field and $n > 1$ an integer. We show $n$ is composite if and only if there is an irreducible polynomial $f(x) \in K[x]$ of degree $n$ which is reducible $q$-adically for all the primes $q$ of $K$.
Externí odkaz:
http://arxiv.org/abs/math/0404069