Palindromic width of finitely generated solvable groups
| dc.contributor.author | Gongopadhyay, Krishnendu | |
| dc.date.accessioned | 2020-12-14T07:19:12Z | |
| dc.date.available | 2020-12-14T07:19:12Z | |
| dc.date.issued | 2015 | |
| dc.description | Only IISERM authors are available in the record. | |
| dc.description.abstract | We investigate the palindromic width of finitely generated solvable groups. We prove that every finitely generated 3-step solvable group has finite palindromic width. More generally, we show the finiteness of the palindromic width for finitely generated abelianby-nilpotent-by-nilpotent groups. For arbitrary solvable groups of step ≥ 3, we prove that if G is a finitely generated solvable group that is an extension of an abelian group by a group satisfying the maximal condition for normal subgroups, then the palindromic width of G is finite. We also prove that the palindromic width of ℤ≀ℤ with respect to the set of standard generators is 3 | en_US |
| dc.identifier.citation | Communications in Algebra, 43 (11) pp. 4809-4824. | en_US |
| dc.identifier.other | 10.1080/00927872.2014.952738 | |
| dc.identifier.uri | https://www.tandfonline.com/doi/full/10.1080/00927872.2014.952738 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/3106 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | Taylor and Francis Inc. | en_US |
| dc.subject | Metabelian groups | en_US |
| dc.subject | Palindromic width | en_US |
| dc.subject | Solvable groups | en_US |
| dc.subject | Wreath products | en_US |
| dc.title | Palindromic width of finitely generated solvable groups | en_US |
| dc.type | Article | en_US |