Finitely Generated Nilpotent Groups of Infinite Cyclic Commutator Subgroups

• 作者: He Guo LIU Ji Ping ZHANG Jun LIAO Xing Zhong XU
• 来源期刊: 数学学报（英文版）
• 年，卷（期）: 2020,（12）
• 页码范围: 1315-1340
• 页数: 26页
• 语种: 英文

摘要

The aim of this paper is to determine the structure and to establish the isomorphic invariant of the finitely generated nilpotent group G of infinite cyclic commutator subgroup. Using the structure and invariant of the group which is the central extension of a cyclic group by a free abelian group of finite rank of infinite cyclic center, we provide a decomposition of G as the product of a generalized extraspecial Z-group and its center. By using techniques of lifting isomorphisms of abelian groups and equivalent normal form of the generalized extraspecial Z-groups, we finally obtain the structure and invariants of the group G.

作者信息

序号	姓名	单位	发文数	被引次数	H指数	G指数
1	Jun LIAO		1	0	0.0	0.0
2	He Guo LIU		1	0	0.0	0.0
3	Xing Zhong XU		1	0	0.0	0.0
4	Ji Ping ZHANG		1	0	0.0	0.0