Finite groups of essential dimension one

被引：19
作者：
Ledet, Arne [1 ]
机构：
[1] Texas Tech Univ, Dept Math & Stat, Lubbock, TX 79409 USA
来源：
JOURNAL OF ALGEBRA | 2007年 / 311卷 / 01期
关键词：
galois theory; essential dimension; group representations;
D O I：
10.1016/j.jalgebra.2006.12.027
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give necessary and sufficient conditions for a finite group to have essential dimension 1 over an infinite ground field. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：31 / 37
页数：7
相关论文
共 50 条
  • [31] A fiber dimension theorem for essential and canonical dimension
    Loetscher, Roland
    COMPOSITIO MATHEMATICA, 2013, 149 (01) : 148 - 174
  • [32] Essential dimension of involutions and subalgebras
    Roland Lötscher
    Israel Journal of Mathematics, 2012, 192 : 325 - 346
  • [33] ESSENTIAL DIMENSION IN MIXED CHARACTERISTIC
    Brosnan, Patrick
    Reichstein, Zinovy
    Vistoli, Angelo
    DOCUMENTA MATHEMATICA, 2018, 23 : 1587 - 1600
  • [34] The essential dimension of congruence covers
    Farb, Benson
    Kisin, Mark
    Wolfson, Jesse
    COMPOSITIO MATHEMATICA, 2021, 157 (11) : 2407 - 2432
  • [35] Essential dimension of representations of algebras
    Scavia, Federico
    COMMENTARII MATHEMATICI HELVETICI, 2020, 95 (04) : 661 - 702
  • [36] ESSENTIAL DIMENSION AND GENERICITY FOR QUIVER REPRESENTATIONS
    Scavia, Federico
    DOCUMENTA MATHEMATICA, 2020, 25 : 329 - 364
  • [37] Essential p-dimension of PGLn
    Ruozzi, Anthony
    JOURNAL OF ALGEBRA, 2011, 328 (01) : 488 - 494
  • [38] Linkage and essential p-dimension
    Chapman, Adam
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2024, 73 (07) : 2527 - 2531
  • [39] Essential dimension of inseparable field extensions
    Reichstein, Zinovy
    Shukla, Abhishek Kumar
    ALGEBRA & NUMBER THEORY, 2019, 13 (02) : 513 - 530
  • [40] The behavior of essential dimension under specialization
    Reichstein, Zinovy
    Scavia, Federico
    EPIJOURNAL DE GEOMETRIE ALGEBRIQUE, 2022, 6
12345