Baer-invariants with Respect to Two Varieties of Groups

• 来源期刊: 代数集刊（英文版）
• 学科: 数学
• 关键词: Baer-invariant Schur-multiplier V-nilpotent
• 年，卷（期）: 2001,（2）
• 页码范围: 145-151
• 页数: 7页
• 分类号: O1
• 语种: 英文

摘要

This paper is devoted to present some properties of the Baer-invariants of groups with respect to two varieties V and W of groups. We give some inequalities for such Baer-invariants of finite groups. A generalized version of the Stalling type theorem is presented. Also, if N is a normal subgroup of a group G in the variety W, then we give a necessary and sufficient condition for which the Baer-invariant of G can be embedded into the Baer-invariant of the factor group G/N.