Zobrazeno 1 - 10
of 60
pro vyhledávání: '"20G40 (secondary)"'
Let $\Gamma$ be a cocompact, oriented Fuchsian group which is not on an explicit finite list of possible exceptions and $q$ a sufficiently large prime power not divisible by the order of any non-trivial torsion element of $\Gamma$. Then $|\mathrm{Hom
Externí odkaz:
http://arxiv.org/abs/2407.07193
Given a permutation group $G$ on a finite set $\Omega$, let $G^{(k)}$ denote the $k$-closure of $G$, that is, the largest permutation group on $\Omega$ having the same orbits in the induced action on $\Omega^k$ as $G$. Recall that a group is $\mathrm
Externí odkaz:
http://arxiv.org/abs/2406.03780
We study the distribution of the Galois group of a random $q$-additive polynomial over a rational function field: For $q$ a power of a prime $p$, let $f=X^{q^n}+a_{n-1}X^{q^{n-1}}+\ldots+a_1X^q+a_0X$ be a random polynomial chosen uniformly from the s
Externí odkaz:
http://arxiv.org/abs/2304.13709
Autor:
Hazeltine, Alexander, Liu, Baiying
We prove a converse theorem for split even special orthogonal groups over finite fields. This is the only case left on converse theorems of split classical groups and the difficulty is the existence of the outer automorphism. In this paper, we develo
Externí odkaz:
http://arxiv.org/abs/2301.13092
Autor:
Morton-Ferguson, Calder
We define and study an analogue of Category O in the context of Kazhdan and Laumon's gluing construction for perverse sheaves on the basic affine space. We explicitly describe the simple objects in this category, and we show its linearized Grothendie
Externí odkaz:
http://arxiv.org/abs/2210.03101
Autor:
Zhang, Robin
Publikováno v:
Int. Math. Res. Not. IMRN, 2024(7): 5490-5523, 2024
We give a generalization of Gelfand's criterion on the commutativity of Hecke algebras for Gelfand pairs and multiplicity-free triples over algebraically closed fields of arbitrary characteristic. Using more lenient versions of projectivity and injec
Externí odkaz:
http://arxiv.org/abs/2111.04058
Let $p$ be a prime number and $q=p^m$, with $m \geq 1$ if $p \neq 2,3$ and $m>1$ otherwise. Let $\Omega$ be any non-trivial twist for the complex group algebra of $\mathbf{PSL}_2(q)$ arising from a $2$-cocycle on an abelian subgroup of $\mathbf{PSL}_
Externí odkaz:
http://arxiv.org/abs/2108.12324
Autor:
Hiss, Gerhard
If a finite quasisimple group G with simple quotient S is embedded into a suitable classical group X through the smallest degree of a projective representation of S, then the normalizer of G in X is a maximal subgroup of X, up to two series of except
Externí odkaz:
http://arxiv.org/abs/1910.14300
Autor:
Larsen, Michael
Publikováno v:
Alg. Number Th. 14 (2020) 2185-2196
If w is a word in d>1 letters and G is a finite group, evaluation of w on a uniformly randomly chosen d-tuple in G gives a random variable with values in G, which may or may not be uniform. It is known that if G ranges over finite simple groups of gi
Externí odkaz:
http://arxiv.org/abs/1908.07287
Autor:
O'Dorney, Evan M.
Publikováno v:
American Mathematical Monthly, Volume 127, Issue 2, pp. 112-124, 2020
H. Lenstra has pointed out that a cubic polynomial of the form (x-a)(x-b)(x-c) + r(x-d)(x-e), where {a,b,c,d,e} is some permutation of {0,1,2,3,4}, is irreducible modulo 5 because every possible linear factor divides one summand but not the other. We
Externí odkaz:
http://arxiv.org/abs/1808.10440