General solution of the 2-cocycle functional equation on solvable groups

被引：0
|
作者：
Ebanks B. [1 ]
机构：
[1] Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39762, P.O. Box MA
来源：
Aequationes mathematicae | 2007年 / 73卷 / 3期
关键词：
2-cocycle; Cocycle; Normal subgroup; Semidirect product; Solvable group; Splitting extension;
D O I：
10.1007/s00010-006-2849-3
中图分类号：
学科分类号：
摘要：
The general solution of the 2-cocycle functional equation on abelian groups is well known. Methods are also known for finding regular solutions on Lie groups. Here we find general solutions of the 2-cocycle equation on certain non-abelian groups. We consider groups that are semidirect products, and in particular solvable groups that can be built up by splitting extensions. © Birkhäuser Verlag, Basel 2007.
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页码：260 / 279
页数：19
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