Small doubling in $m$-Engel groups

IF 0.7 Q2 MATHEMATICS

International Journal of Group Theory Pub Date : 2020-03-25 DOI:10.22108/IJGT.2020.121125.1595

P. Longobardi, M. Maj

引用次数: 0

Abstract

We study some inverse problems of small doubling type in the class of $m$-Engel groups. In particular we investigate the structure of a finite subset $S$ of a torsion-free $m$-Engel group if $|S^2| = 2|S|+b$, where $0 leq b leq |S|-4$, for some values of $b$.

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小翻倍在$m$-Engel组

研究了$m$-Engel群类的小倍型反问题。特别地，我们研究了无挠$m$-Engel群的有限子集$S$的结构，当$|S^2| = 2|S|+b$，其中$0 leq b leq |S|-4$，对于$b$的某些值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.