无限群的外次数
群论
2018-12-14 v3 代数拓扑
摘要
有限群的外次数已在[P. Niroomand and R. Rezaei, On the exterior degree of finite groups, Comm. Algebra 39 (2011), 335--343]中引入，本文致力于研究无限群的外次数。我们找到了一些组合性质的不等式，这些不等式推广了有限情形下的结果，并使我们能够获得整个群的结构限制。
引用
@article{arxiv.1303.2324,
title = {Exterior degree of infinite groups},
author = {Rashid Rezaei and Francesco G. Russo},
journal= {arXiv preprint arXiv:1303.2324},
year = {2018}
}
备注
The main ideas have been enriched. A first contribution deals with topological aspects, is entitled "On the topology of the nonabelian tensor product of profinite groups'' and is accepted in Bull.Korean Math.Soc. A second contribution deals with measure theory, is entitled "Commuting elements with respect to the operator $\wedge$ in infinite groups'' and is accepted in the same journal