Rashid Rezaei, Francesco G. Russo
Published 2013-03-10, updated 2015-11-20Version 3
The exterior degree of a finite group has been introduced in [P. Niroomand and R. Rezaei, On the exterior degree of finite groups, Comm. Algebra 39 (2011), 335--343] and the present paper is devoted to study the exterior degree of infinite groups. We find some inequalities of combinatorial nature, which generalize those of the finite case and allow us to get structural restrictions for the whole group.
Comments: 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
Powers of commutators in infinite groups
The spread of finite and infinite groups
The stable category and invertible modules for infinite groups
![QR code for arXiv:1303.2324 [math.GR]](http://oss.arxitics.com/images/favicon.svg)