On Groups with Extreme Centralizers and Normalizers

Advances in Group Theory and Applications

Derek J.S. Robinson¹ 

[1] University of Illinois at Urbana-Champaign;

关键词: finite index;    centralizer;    normalizer;   

DOI  :  10.4399/97888548908177

来源: DOAJ

【 摘 要 】

An FCI-group is a group in which every non-normal cyclic subgroup has finite index in its centralizer and an FNI-group is one in which every non-normal subgroup has finite index in its normalizer. FCI-groups and FNI-groups are characterized in the case where an infinite abelian normal subgroup is present and all periodic factors are locally finite. This applies in particular to locally soluble-by-finite groups.

【 授权许可】

Unknown