On groups with two isomorphism classes of central factors
نویسندگان
1 Universitamp;agrave; degli Studi di Salerno
doi
10.22108/ijgt.2016.21218چکیده
The structure of groups which have at most two isomorphism classes of central factors ($B_2$-groups) are investigated. A complete description of $B_2$-groups is obtained in the locally finite case and in the nilpotent case. In addition detailed information is obtained about soluble $B_2$-groups. Also structural information about insoluble $B_2$-groups is given, in particular when such a group has the derived subgroup satisfying the minimal condition.