ZASSENHAUS CONJECTURE FOR INTEGRAL GROUP RING OF SIMPLE LINEAR GROUPS

被引:12
|
作者
Gildea, Joe [1 ]
机构
[1] Univ Chester, Dept Math, Chester CH1 4BJ, Cheshire, England
关键词
Zassenhaus conjecture; torsion unit; partial augmentation; integral group ring; TORSION UNITS;
D O I
10.1142/S0219498813500163
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove that the Zassenhaus conjecture is true for PSL(2, 8) and PSL(2,17). This is a continuation of research initiated by Kimmerle, Hertweck and Hofert.
引用
收藏
页数:10
相关论文
共 50 条
  • [1] On the first Zassenhaus conjecture for integral group rings
    Bovdi, V
    Höfert, C
    Kimmerle, W
    PUBLICATIONES MATHEMATICAE DEBRECEN, 2004, 65 (3-4): : 291 - 303
  • [2] Revisiting the Zassenhaus conjecture on torsion units for the integral group rings of small groups
    Herman, Allen
    Singh, Gurmail
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2015, 125 (02): : 167 - 172
  • [3] The Status of the Zassenhaus Conjecture for Small Groups
    Bachle, Andreas
    Herman, Allen
    Konovalov, Alexander
    Margolis, Leo
    Singh, Gurmail
    EXPERIMENTAL MATHEMATICS, 2018, 27 (04) : 431 - 436
  • [4] Revisiting the Zassenhaus conjecture on torsion units for the integral group rings of small groups
    ALLEN HERMAN
    GURMAIL SINGH
    Proceedings - Mathematical Sciences, 2015, 125 : 167 - 172
  • [5] Integral group ring of the McLaughlin simple group
    Bovdi, V. A.
    Konovalov, A. B.
    ALGEBRA & DISCRETE MATHEMATICS, 2007, (02): : 43 - 53
  • [6] INTEGRAL GROUP RING OF THE MATHIEU SIMPLE GROUP M24
    Bovdi, Victor
    Konovalov, Alexander
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2012, 11 (01)
  • [7] Integral group ring of the Suzuki sporadic simple group
    Bovdi, Victor A.
    Konovalov, Alexander B.
    Marcos, Eduardo Do Nascimento
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2008, 72 (3-4): : 487 - 503
  • [8] On the Zassenhaus Conjecture for Certain Cyclic-by-Nilpotent Groups
    Caicedo, Mauricio
    del Rio, Angel
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2020, 17 (02)
  • [9] INTEGRAL GROUP RING OF THE MATHIEU SIMPLE GROUP M-12
    Bovdi, V. A.
    Konovalov, A. B.
    Siciliano, S.
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2007, 56 (01) : 125 - 136
  • [10] Integral group ring of the Mathieu simple group M23
    Bovdi, V. A.
    Konovalov, A. B.
    COMMUNICATIONS IN ALGEBRA, 2008, 36 (07) : 2670 - 2680