搜索结果: 1-15 共查到“代数学 abelian”相关记录23条 . 查询时间(0.022 秒)
School Colloquium——Stable reduction of algebraic curves and abelian varieties
北大 algebraic curves abelian varieties
2023/6/16
The stable reduction theorem was proved by Grothendieck for Abelian varieties and subsequently by Deligne and Mumford for projective curves.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Non-abelian Derived Categories and Derived Schur and Weyl Functors
非阿贝尔派生范畴 派生舒尔 外尔函子
2023/4/13
We'll start with reviewing Quillen and Lurie's theory of non-abelian derived categories (also known as the "animation" theory). Following that, we will apply this theory to generalize the classical Sc...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Fourier analysis on finite abelian groups and the uncertainty principles
有限阿贝尔群 傅里叶分析 不确定性原理
2023/4/18
Let G be a finite abelian group. If f: G → C is a nonzero function with Fourier transform f , the Donoho-Stark uncertainty principle states that|supp(f)||supp(f )|≥|G|. The purpose of this talk is two...
FRAME POTENTIAL AND FINITE ABELIAN GROUPS
tight frame frame potential finite abelian group sampling
2015/12/10
This article continues a prior investigation of the authors with the goal of extending characterization results of convolutional tight frames from the context of cyclic groups to general finite abelia...
ABELIAN VARIETIES OVER LARGE ALGEBRAIC FIELDS WITH INFINITE TORSION
ABELIAN VARIETIES OVER LARGE ALGEBRAIC FIELDS INFINITE TORSION
2015/8/26
Let A be a non-zero abelian variety defined over a number field K and let K be a fixed algebraic closure of K. For each element σ of the absolute Galois group Gal(K/K), let K(σ) be the fixed field in ...
Consider an absolutely simple abelian variety A defined over a number field K. For most places v of K, we study how the reduction Av of A modulo v splits up to isogeny. Assumingthe Mumford–Tate conjec...
Polynomial-time Isomorphism Test for Groups with Abelian Sylow Towers
polynomial-time algorithm, group isomorphism, solvable group
2012/12/3
We consider the problem of testing isomorphism of groups of order n given by Cayley tables. The trivial nlog n bound on the time complexity for the general case has not been improved over the past fou...
Connected Quandles Associated with Pointed Abelian Groups
Connected Quandles Pointed Abelian Groups Rings and Algebras
2011/9/22
Abstract: A quandle is a self-distributive algebraic structure that appears in quasi-group and knot theories. For each abelian group A and c \in A we define a quandle G(A, c) on \Z_3 \times A. These q...
Rigid abelian groups and the probabilistic method
random construction abelian groups with prescribed endomorphisms probabilistic method Group Theory
2011/9/5
Abstract: The construction of torsion-free abelian groups with prescribed endomorphism rings starting with Corner's seminal work is a well-studied subject in the theory of abelian groups. Usually thes...
On the Order of Schur Multipliers of Finite Abelian p-Groups
Schur multiplier Abelian p- group
2011/2/21
Let G be a finite p-group of order pn with |M(G)| = p n(n−1) 2 −t,where M(G) is the Schur multiplier of G. Ya.G. Berkovich, X. Zhou,and G. Ellis have determined the structure of G when t =...
Outer Commutator Multiplier and Capability of Finitely Generated Abelian Groups
Outer Commutator Multiplier Capability of Finitely Generated Abelian Groups
2011/2/21
We present an explicit structure for the Baer invariant of a finitely generated abelian group with respect to the variety [Nc1 ,Nc2], for all c2 ≤ c1 ≤ 2c2.
Polynilpotent Capability of Finitely Generated Abelian Groups
Varietal capability Finitely generated Abelian groups Polynilpotent variety
2011/1/17
In this paper we determine all finitely generated abelian groups which are varietal capable with respect to the variety of polynilpotent groups. This result is a vast generalization of the famous Baer...
On the $p$-adic closure of a subgroup of rational points on an Abelian variety
$p$-adic closure subgroup of rational points Abelian variety
2011/2/24
In 2007, B. Poonen (unpublished) studied the p{adic closure of a subgroup of rational points on a commutative algebraic group. More recently, J. Bellache asked the same question for the special case...
Abelian JSJ decomposition of graphs of free abelian groups
Abelian JSJ decomposition graphs of free abelian groups
2011/1/19
A group G is a vGBS group if it admits a decomposition as a fi-nite graph of groups with all edge and vertex groups finitely generated and free abelian. We construct the JSJ decomposition of a vGBS gr...
Broué's abelian defect group conjecture holds for the sporadic simple Conway group Co_3
Broué's abelian defect group conjecture the sporadic simple Conway group Co_3
2010/11/23
In the representation theory of finite groups, there is a well-known and important conjecture due to M. Brou\'e. He conjectures that, for any prime p, if a p-block A of a finite group G has an abelian...