Scholarlink

<p>In this paper, we study derivations in group rings completed by various types of norms. The main attention is paid to the class of groups in which conjugations act in a controlled manner in some sense. Using the method of identifying derivations and characters on some category, we obtain an alternative way of proving that for this class of groups all derivations are inner.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Triviality of Outer Derivations in \({{\ell}}_{p}(G)\) for One Class of Groups

  • 期刊论文

  • 发表日期：

    2025年1月1日

查看全文
  • A. A. Arutyunov,
  • A. V. Naianzin

摘要

In this paper, we study derivations in group rings completed by various types of norms. The main attention is paid to the class of groups in which conjugations act in a controlled manner in some sense. Using the method of identifying derivations and characters on some category, we obtain an alternative way of proving that for this class of groups all derivations are inner.