Academic Journal
Restrictions on commutativity ratios in finite groups
| Τίτλος: | Restrictions on commutativity ratios in finite groups |
|---|---|
| Συγγραφείς: | Robert Heffernan, Des MacHale, Aine Ni She |
| Πηγή: | International Journal of Group Theory, Vol 3, Iss 4, Pp 1-12 (2014) |
| Στοιχεία εκδότη: | University of Isfahan, 2014. |
| Έτος έκδοσης: | 2014 |
| Συλλογή: | LCC:Mathematics |
| Θεματικοί όροι: | commutativity ratios, commuting probability, Finite groups, Mathematics, QA1-939 |
| Περιγραφή: | We consider two commutativity ratios $Pr(G)$ and $f(G)$ in a finite group $G$ and examine the properties of $G$ when these ratios are `large'. We show that if $Pr(G) > frac{7}{24}$, then $G$ is metabelian and we give threshold results in the cases where $G$ is insoluble and $G'$ is nilpotent. We also show that if $f(G) > frac{1}{2}$, then $f(G) = frac{n+1}{2n}$, for some natural number $n$. |
| Τύπος εγγράφου: | article |
| Περιγραφή αρχείου: | electronic resource |
| Γλώσσα: | English |
| ISSN: | 2251-7650 2251-7669 |
| Relation: | http://www.theoryofgroups.ir/pdf_4570_55d0f1553f00e86de09233d4129f5a8f.html; https://doaj.org/toc/2251-7650; https://doaj.org/toc/2251-7669 |
| Σύνδεσμος πρόσβασης: | https://doaj.org/article/4e037b3600a84b9580205ba6d10ab305 |
| Αριθμός Καταχώρησης: | edsdoj.4e037b3600a84b9580205ba6d10ab305 |
| Βάση Δεδομένων: | Directory of Open Access Journals |
| ISSN: | 22517650 22517669 |
|---|