Abstract
AbstractWe construct finitely generated groups of small period growth, i.e. groups where the maximum order of an element of word length n grows very slowly in n. This answers a question of Bradford related to the lawlessness growth of groups and is connected to an approximative version of the restricted Burnside problem.
Publisher
Cambridge University Press (CUP)
Reference12 articles.
1. GROUP LAWS AND FREE SUBGROUPS IN TOPOLOGICAL GROUPS
2. (4) Bradford, H. , Quantifying lawlessness in finitely generated groups, (2022) is a preprint available at https://arxiv.org/abs/2112.08875.
3. Bounds in the restricted Burnside problem
4. Solution of the restricted Burnside problem for groups of odd exponent;Zel’manov;Izv. Akad. Nauk SSSR Ser. Mat.,1990
5. FINITE GROUPS OF BOUNDED EXPONENT
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. On finitely generated Engel branch groups;Journal of the London Mathematical Society;2024-08-24