On finite groups having perfect order subsets
| dc.contributor.author | Das, Ashish Kumar | |
| dc.date.accessioned | 2010-08-03T19:38:35Z | |
| dc.date.available | 2010-08-03T19:38:35Z | |
| dc.date.issued | 2009 | |
| dc.description.abstract | A finite group G is said to be a POS-group if for each x in G the cardinality of the set {y ∈ G|o(y) = o(x)} is a divisor of the order of G. In this paper we study some of the properties of arbitrary POS-groups, and construct a couple of new families of nonabelian POS-groups. We also prove that the alternating group An, n ≥ 3, is not a POS-group. | en_US |
| dc.document.department | Mathematics | en_US |
| dc.document.placeofpublication | International Journal of Algebra | en_US |
| dc.document.publisher | Hikari Ltd | en_US |
| dc.document.yearofpublication | 2009 | en_US |
| dc.identifier.issn | 1312-8868 | |
| dc.identifier.uri | https://dspace.nehu.ac.in/handle/1/2552 | |
| dc.journal.pagerange | 629-637 | en_US |
| dc.journal.volume | volume 3, number 13 | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Hikari Ltd | en_US |
| dc.subject | finite groups, semidirect product, divisibility, primes | en_US |
| dc.subject | 20D60, 11A41, 11Z05 | en_US |
| dc.submitter.address | Department of Mathematics, North-Eastern Hill University Permanent Campus, Shillong-793022, Meghalaya, India | en_US |
| dc.title | On finite groups having perfect order subsets | en_US |
| dc.type | Article | en_US |