A characterization of procyclic groups via complete exterior degree

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dc.contributor.authorRodrigues, Bernardo
dc.contributor.authorRusso, Francesco G
dc.date.accessioned2025-01-21T13:14:15Z
dc.date.available2025-01-21T13:14:15Z
dc.date.issued2024
dc.description.abstractWe describe the nonabelian exterior square (Formula presented.) of a pro-p-group G (with p arbitrary prime) in terms of quotients of free pro-p-groups, providing a new method of construction of (Formula presented.) and new structural results for (Formula presented.). Then, we investigate a generalization of the probability that two randomly chosen elements of G commute: this notion is known as the “complete exterior degree” of a pro-p-group and we will use it to characterize procyclic groups. Among other things, we present a new formula, which simplifies the numerical aspects which are connected with the evaluation of the complete exterior degree
dc.identifier.citationRodrigues, B.G. and Russo, F.G., 2024. A Characterization of Procyclic Groups via Complete Exterior Degree. Mathematics, 12(7), p.1018.
dc.identifier.urihttps://doi.org/10.3390/math12071018
dc.identifier.urihttps://hdl.handle.net/10566/19886
dc.language.isoen
dc.publisherMultidisciplinary Digital Publishing Institute (MDPI)
dc.subjectFree profinite groups
dc.subjectNonabelian exterior square
dc.subjectPro-p-groups
dc.subjectSchur multiplier
dc.titleA characterization of procyclic groups via complete exterior degree
dc.typeArticle

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