关于具有两类同构中心因子的群

IF 0.7 Q2 MATHEMATICS

International Journal of Group Theory Pub Date : 2018-03-01 DOI:10.22108/IJGT.2016.21218

S. Siani

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引用次数: 0

摘要

研究了至多有两类同构中心因子的群（$B_2$-群）的结构‎. ‎在局部有限情形和幂零情形下得到了$B_2$-群的一个完整描述‎. ‎此外，还获得了关于可溶性$B_2$-组的详细信息‎. ‎给出了不可解$B_2$-群的结构信息‎, ‎特别是当这样的群具有满足最小条件的导出子群时‎.

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On groups with two isomorphism classes of central factors

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.

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来源期刊

International Journal of Group Theory MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

30 weeks

期刊介绍： International Journal of Group Theory (IJGT) is an international mathematical journal founded in 2011. IJGT carries original research articles in the field of group theory, a branch of algebra. IJGT aims to reflect the latest developments in group theory and promote international academic exchanges.