On the character varieties of finitely generated groups

被引：6
|
作者：
Rapinchuk, Igor A. [1 ]
机构：
[1] Harvard Univ, Dept Math, Cambridge, MA 02138 USA
来源：
MATHEMATICAL RESEARCH LETTERS | 2015年 / 22卷 / 02期
关键词：
COMMUTATIVE RINGS; CHEVALLEY-GROUPS; REPRESENTATIONS;
D O I：
10.4310/MRL.2015.v22.n2.a12
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish three results dealing with the character varieties of finitely generated groups. The first two are concerned with the behavior of x(Gamma, n) = dim X-n(Gamma) as a function of n, and the third addresses the problem of realizing a Q-defined complex affine algebraic variety as a character variety.
引用
收藏
页码：579 / 604
页数：26
相关论文
共 50 条
  • [31] Varieties whose finitely generated members are free
    Kearnes, Keith A.
    Kiss, Emil W.
    Szendrei, Agnes
    [J]. ALGEBRA UNIVERSALIS, 2018, 79 (01)
  • [32] Finitely generated varieties of distributive effect algebras
    Ivan Chajda
    Jan Kühr
    [J]. Algebra universalis, 2013, 69 : 213 - 229
  • [33] Height of varieties over finitely generated fields
    Burgos Gil, Jose Ignacio
    Philippon, Patrice
    Sombra, Martin
    [J]. KYOTO JOURNAL OF MATHEMATICS, 2016, 56 (01) : 13 - 32
  • [34] Finitely generated varieties of distributive effect algebras
    Chajda, Ivan
    Kuehr, Jan
    [J]. ALGEBRA UNIVERSALIS, 2013, 69 (03) : 213 - 229
  • [35] Varieties whose finitely generated members are free
    Keith A. Kearnes
    Emil W. Kiss
    Ágnes Szendrei
    [J]. Algebra universalis, 2018, 79
  • [36] COUNTABLE SKELETONS OF FINITELY GENERATED DISCRIMINATOR VARIETIES
    PINUS, AG
    [J]. SIBERIAN MATHEMATICAL JOURNAL, 1992, 33 (02) : 346 - 350
  • [37] Chief factor sizes in finitely generated varieties
    Kearnes, KA
    Kiss, EW
    Szendrei, A
    Willard, RD
    [J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2002, 54 (04): : 736 - 756
  • [38] On isoperimetric profiles of finitely generated groups
    Erschler, A
    [J]. GEOMETRIAE DEDICATA, 2003, 100 (01) : 157 - 171
  • [39] The commensurability relation for finitely generated groups
    Thomas, Simon
    [J]. JOURNAL OF GROUP THEORY, 2009, 12 (06) : 901 - 909
  • [40] E-FINITELY GENERATED GROUPS
    PARAS, AT
    [J]. COMMUNICATIONS IN ALGEBRA, 1995, 23 (13) : 4749 - 4756
12345