极小生成集上具有数值限制的群

IF 0.7 Q2 MATHEMATICS

International Journal of Group Theory Pub Date : 2019-02-01 DOI:10.22108/IJGT.2019.115131.1526

L. A. Kurdachenko, P. Longobardi, M. Maj

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引用次数: 2

摘要

我们研究了一个小二重型的反问题。我们研究了有限生成群$G$的结构，使得对于最小阶$G$生成器的任何集合$S$，我们有$S^2 leq3|S|-beta$，其中$beta在{1,2,3}中$

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Groups with numerical restrictions on minimal generating sets

We study an inverse problem of small doubling type. We investigate the structure of a finitely generated group $G$ such that, for any set $S$ of generators of $G$ of minimal order, we have $S^2 leq 3|S|-beta$, where $beta in {1, 2, 3}$

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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.