Invariants of finite solvable groups

被引:0
|
作者
Monakhov, Victor [1 ]
Trofimuk, Alexander [2 ]
机构
[1] Gomel Francisk Skorina State Univ, Dept Math, Gomel 246019, BELARUS
[2] AS Pushkin Brest State Univ, Dept Math, Brest 224016, BELARUS
来源
ALGEBRA & DISCRETE MATHEMATICS | 2012年 / 14卷 / 01期
关键词
derived length; nilpotent lengths; p-length; pi-length; nilpotent pi-length; rank; p-rank; metacyclic group; bicyclic group; pi-solvable group;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The article contains the results about invariants of solvable groups with given structure of Sylow subgroups and information about the nilpotent pi-length of pi-solvable groups. Open questions are formulated.
引用
收藏
页码:107 / 131
页数:25
相关论文
共 50 条
  • [41] Solvable Groups of Finite Metabelian Rank
    O. Y. Dashkova
    Siberian Mathematical Journal, 2020, 61 : 1066 - 1074
  • [42] The construction of finite solvable groups revisited
    Eick, Bettina
    Horn, Max
    JOURNAL OF ALGEBRA, 2014, 408 : 166 - 182
  • [43] SOLVABLE GROUPS OF FINITE METABELIAN RANK
    Dashkova, O. Yu
    SIBERIAN MATHEMATICAL JOURNAL, 2020, 61 (06) : 1066 - 1074
  • [44] Monomial characters of finite solvable groups
    Damiano Rossi
    Archiv der Mathematik, 2023, 120 : 339 - 347
  • [45] Minimal sumsets in finite solvable groups
    Eliahou, Shalom
    Kervaire, Michel
    DISCRETE MATHEMATICS, 2010, 310 (03) : 471 - 479
  • [46] LOCALLY SOLVABLE GROUPS OF FINITE RANK
    ZAITSEV, DI
    DOKLADY AKADEMII NAUK SSSR, 1978, 240 (02): : 257 - 260
  • [47] On solvable R* groups of finite rank
    Rhemtulla, A
    Smith, H
    COMMUNICATIONS IN ALGEBRA, 2003, 31 (07) : 3287 - 3293
  • [48] PARTLY SOLVABLE SUBGROUPS OF FINITE GROUPS
    CHUNIKHIN, SA
    DOKLADY AKADEMII NAUK SSSR, 1959, 128 (06): : 1135 - 1135
  • [49] On Two Theorems of Finite Solvable Groups
    Shi Rong Li
    Acta Mathematica Sinica, 2005, 21 : 797 - 802
  • [50] Antisymmetric mappings for finite solvable groups
    Heiss, S
    ARCHIV DER MATHEMATIK, 1997, 69 (06) : 445 - 454