Two-Variable Identities in Groups and Lie Algebras

被引：0
作者：
F. Grunewald
B. Kunyavskii
D. Nikolova
E. Plotkin
机构：
[1] Heinrich Heine Universität,Math. Institut
[2] Bar-Ilan University,Dept of Math. and Computer Science
[3] Insitute of Math.,Bulgarian Academy of Sciences
来源：
Journal of Mathematical Sciences | 2003年 / 116卷 / 1期
关键词：
Finite Group; Solvable Group; Finite Solvable Group;
D O I：
10.1023/A:1023450709743
中图分类号：
学科分类号：
摘要：
We study two-variable Engel-like relations and identities characterizing finite-dimensional solvable Lie algebras and, conjecturally, finite solvable groups and introduce some invariants of finite groups associated with such relations. Bibliography: 29 titles.
引用
收藏
页码：2972 / 2981
页数：9
相关论文
共 31 条
  • [1] Block R. E.(1969)Determination of differentially simple rings with a minimal ideal Ann. Math 90 433-459
  • [2] Block R. E.(1988)Classiffcation of the restricted simple Lie algebras J. Algebra 114 115-259
  • [3] Wilson R. L.(1983)On groups with small Engel depth Bull. Austral. Math. Soc. 28 101-110
  • [4] Brandl R.(1986)Simple groups of small Engel depth Bull. Austral. Math. Soc. 33 245-251
  • [5] Brandl R.(1970)On the laws of certain ffnite groups J. Austral. Math. Soc. 11 441-489
  • [6] Nikolova D.(1995)Finite groups in which every two elements generate a soluble group Invent. Math. 121 279-285
  • [7] Cossey J.(1968)2-Metabelian groups Arch. Math. (Basel) 19 584-587
  • [8] Oates S.(1966)Some group laws equivalent to the commutative law Arch. Math. (Basel) 17 97-102
  • [9] Macdonald R.(1967)Groups with a two-variable commutator identity Math. Z. 95 276-287
  • [10] Street A. P.(1967)Identical relations and decision procedures for groups J. Austral. Math. Soc. 7 39-47
1234