On infinite groups whose noncyclic norm has a finite index
Copyright policy )On infinite groups whose noncyclic norm has a finite index
The author deals with some generalization of Baer's norm of a group [\textit{R. Baer}, Compos. Math. 1, 254-283 (1934; Zbl 0009.15504)], which he calls a noncyclic norm. Some restrictions on this norm have essential influence on the structure of the group. The author investigates properties of noncyclic infinite groups with locally graded noncyclic norm which has finite index. In particular, the author proves that this class of groups consists of noncyclic groups which are finite over their center.
General structure theorems for groups, subgroups of finite index, Subgroup theorems; subgroup growth, norms of groups, central-by-finite groups, locally graded groups, Local properties of groups
General structure theorems for groups, subgroups of finite index, Subgroup theorems; subgroup growth, norms of groups, central-by-finite groups, locally graded groups, Local properties of groups
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