INTEGRAL GROUP RING OF RUDVALIS SIMPLE GROUP

被引:10
|
作者
Bovdi, V. A. [1 ]
Konovalov, A. B. [2 ]
机构
[1] Univ Debrecen, Inst Math, H-4012 Debrecen, Hungary
[2] Univ St Andrews, Sch Comp Sci, St Andrews, Fife, Scotland
关键词
TORSION UNITS; ZASSENHAUS CONJECTURE; METABELIAN-GROUPS; ORDER; S-5;
D O I
10.1007/s11253-009-0199-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Using the Luthar-Passi method, we investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the Rudvalis sporadic simple group Ru. As a consequence, for this group we confirm the Kimmerle conjecture on prime graphs.
引用
收藏
页码:1 / 13
页数:13
相关论文
共 50 条
  • [1] Integral group ring of Rudvalis simple group
    V. A. Bovdi
    A. B. Konovalov
    [J]. Ukrainian Mathematical Journal, 2009, 61 : 1 - 13
  • [2] CHARACTERIZATION OF RUDVALIS SIMPLE GROUP
    PARROTT, D
    [J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1976, 32 (JAN) : 25 - 51
  • [3] CONSTRUCTION OF RUDVALIS SIMPLE GROUP
    WALES, D
    [J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (01): : A97 - A97
  • [4] Integral group ring of the McLaughlin simple group
    Bovdi, V. A.
    Konovalov, A. B.
    [J]. ALGEBRA & DISCRETE MATHEMATICS, 2007, (02): : 43 - 53
  • [5] Integral group ring of the Suzuki sporadic simple group
    Bovdi, Victor A.
    Konovalov, Alexander B.
    Marcos, Eduardo Do Nascimento
    [J]. PUBLICATIONES MATHEMATICAE-DEBRECEN, 2008, 72 (3-4): : 487 - 503
  • [6] On Weiss' geometric characterization of the Rudvalis simple group
    Meixner, T
    [J]. FORUM MATHEMATICUM, 1998, 10 (02) : 135 - 146
  • [7] SOME SIMPLE SUBGROUPS OF RUDVALIS SIMPLE GROUP - PRELIMINARY REPORT
    YOUNG, KC
    [J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (05): : A481 - A481
  • [8] Integral group ring of the Mathieu simple group M23
    Bovdi, V. A.
    Konovalov, A. B.
    [J]. COMMUNICATIONS IN ALGEBRA, 2008, 36 (07) : 2670 - 2680
  • [9] INTEGRAL GROUP RING OF THE MATHIEU SIMPLE GROUP M-12
    Bovdi, V. A.
    Konovalov, A. B.
    Siciliano, S.
    [J]. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2007, 56 (01) : 125 - 136
  • [10] INTEGRAL GROUP RING OF THE MATHIEU SIMPLE GROUP M24
    Bovdi, Victor
    Konovalov, Alexander
    [J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2012, 11 (01)