Structure of Groups with Generalized Normal Subgroups

• 作者: Mohammad Arshaduzzaman
• 来源期刊: 理论数学进展(英文)
• 学科: 数学
• 关键词: NORMALITY NEARLY NORMALITY NORMALIZER SUBGROUP
• 年，卷（期）: 2014,（6）
• 页码范围: 261-268
• 页数: 8页
• 分类号: O1

摘要

The present paper deals with a subgroup X of a group G is almost normal if the index |G: NG(X)| is finite, while X is nearly normal if it has finite index in the normal closure XG. This paper investigates the structure of groups in which every (infinite) subgroup is either almost normal or nearly normal.