Endotrivial Modules for the Schur Covers of the Symmetric and Alternating Groups

被引：0

作者：

Caroline Lassueur

Nadia Mazza

机构：

[1] FB Mathematik,Department of Mathematics and Statistics

[2] TU Kaiserslautern,undefined

[3] Lancaster University,undefined

来源：

Algebras and Representation Theory | 2015年 / 18卷

关键词：

Endotrivial modules; Schur covers; Alternating and symmetric groups; Primary 20C20; Secondary 20C30;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We investigate the endotrivial modules for the Schur covers of the symmetric and alternating groups and determine the structure of their group of endotrivial modules in all characteristics. We provide a full description of this group by generators and relations in all cases.

引用

页码：1321 / 1335

页数：14

共 50 条

[41] Congruences modulo 5 for the number of spin characters of the double covers of the symmetric and alternating groups
Xia, Ernest X. W.
ACTA ARITHMETICA, 2019, 187 (03) : 255 - 269
[42] Broué’s Perfect Isometry Conjecture Holds for the Double Covers of the Symmetric and Alternating Groups
Michael Livesey
Algebras and Representation Theory, 2016, 19 : 783 - 826
[43] Representations of symmetric and alternating groups and their double covers that remain irreducible modulo every prime
Fayers, Matthew
Morotti, Lucia
MATHEMATISCHE ZEITSCHRIFT, 2025, 309 (02)
[44] Constructing endotrivial modules
Carlson, JF
JOURNAL OF PURE AND APPLIED ALGEBRA, 2006, 206 (1-2) : 83 - 110
[45] On simple endotrivial modules
Robinson, Geoffrey R.
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2011, 43 : 712 - 716
[46] Endotrivial modules in the cyclic case
Mazza, Nadia
Thevenaz, Jacques
ARCHIV DER MATHEMATIK, 2007, 89 (06) : 497 - 503
[47] Constructive recognition of finite alternating and symmetric groups acting as matrix groups on their natural permutation modules
Beals, R
Leedham-Green, CR
Niemeyer, AC
Praeger, CE
Seress, A
JOURNAL OF ALGEBRA, 2005, 292 (01) : 4 - 46
[48] Character Relations and Simple Modules in the Auslander–Reiten Graph of the Symmetric and Alternating Groups and their Covering Groups
C. Bessenrodt
K. Uno
Algebras and Representation Theory, 2001, 4 : 445 - 468
[49] On alternating and symmetric groups as Galois groups
Brink, D
ISRAEL JOURNAL OF MATHEMATICS, 2004, 142 (1) : 47 - 60
[50] On alternating and symmetric groups as Galois groups
David Brink
Israel Journal of Mathematics, 2004, 142 : 47 - 60

← 1 2 3 4 5 →