On groups with two isomorphism classes of central factors
عنوان مقاله: On groups with two isomorphism classes of central factors
شناسه ملی مقاله: JR_THEGR-7-1_008
منتشر شده در در سال 1397
شناسه ملی مقاله: JR_THEGR-7-1_008
منتشر شده در در سال 1397
مشخصات نویسندگان مقاله:
Serena Siani - Universitamp;agrave; degli Studi di Salerno
خلاصه مقاله:
Serena Siani - Universitamp;agrave; degli Studi di Salerno
The structure of groups which have at most two isomorphism classes of central factors ($B_۲$-groups) are investigated. A complete description of $B_۲$-groups is obtained in the locally finite case and in the nilpotent case. In addition detailed information is obtained about soluble $B_۲$-groups. Also structural information about insoluble $B_۲$-groups is given, in particular when such a group has the derived subgroup satisfying the minimal condition.
کلمات کلیدی: Center, Isomorphism types, locally finite groups, locally graded groups
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1194985/