Numerical bounds for the exterior degree of finite simple groups

Rodrigues, Bernardo Gabriel; Russo, Francesco G.

doi:10.1080/00927872.2021.1881788

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction and Formulation Of The Main Results1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2021

2024

Publication Types

Select...

Article2

Relationship

Self Cite1

Independent1

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…of the pro-p-group G. In particular, if G is finite and we consider the counting measure on G, then we find the exterior degree o f f inite groups in [10][11][12]. The complete exterior center…”

Section: Introduction and Formulation Of The Main Resultsmentioning

confidence: 99%

A Characterization of Procyclic Groups via Complete Exterior Degree

Rodrigues,

Russo

2024

Mathematics

Self Cite

View full text Add to dashboard Cite

We describe the nonabelian exterior square G∧^G 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 G∧^G and new structural results for G∧^G. 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.

show abstract

Section: Introduction and Formulation Of The Main Resultsmentioning

confidence: 99%