On the structure of groups with polynomial growth III

JOURNAL OF ALGEBRA

卷:554

Article

Losert, Viktor¹ 

[1] Univ Wien, Inst Math, Strudlhofg 4, A-1090 Vienna, Austria

关键词: Growth of groups;    Nilpotent groups;    Compact groups;    Splitting;   

DOI  :  10.1016/j.jalgebra.2020.02.012

来源: Elsevier

【 摘 要 】

We show that a compactly generated locally compact group of polynomial growth having no non-trivial compact normal subgroups can be embedded as a co-compact subgroup into a semidirect product of a connected, simply connected, nilpotent Lie group and a compact group. There is also a uniqueness statement for this extension. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free