Lie p-algebras of finite p-subalgebra rank

被引:0
|
作者
Riley, DM [1 ]
机构
[1] Univ Western Ontario, Middlesex Coll, Dept Math, London, ON N6A 5B7, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
Large Class; Rank Force;
D O I
10.1007/s00013-002-8235-z
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We say that a Lie p-algebra L has finite p-subalgebra rank if the minimal number of generators required to generate every finitely generated p-subalgebra is uniformly bounded by some integer r. This paper is concerned with the following problem: does L being of finite p-subalgebra rank force ad(L) to be finite-dimensional? Although this seems unlikely in general, we show that this is indeed the case for Lie p-algebras in a large class including all locally, residually, and virtually soluble Lie p-algebras.
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页码:189 / 195
页数:7
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