Locally finite-indicable groups
| dc.contributor.author | Lemieux, Stephane | |
| dc.date.accessioned | 2020-10-16 | |
| dc.date.accessioned | 2022-05-31T01:15:55Z | |
| dc.date.available | 2022-05-31T01:15:55Z | |
| dc.date.issued | 2007 | |
| dc.description.abstract | A group is locally ℜ-indicable if every finitely generated subgroup has a nontrivial homomorphism onto a nontrivial ℜ-group. If ℜ is a quasi-variety, then the class L(ℜ) of locally ℜ-indicable groups coincides with the class N(ℜ) of groups which have normal systems with factors in ℜ. It is not known if ℜ must be a quasi-variety in order for the equality L(ℜ) = N(ℜ) to hold. We show here that if ℑ is the class of all finite groups, which is the union of an ascending sequence of quasi-varieties, then L(ℑ) ≠ N(ℑ). Examples of finitely generated groups in L(ℑ)\ N(ℑ) are also constructed. | |
| dc.description.uri | https://library.macewan.ca/cgi-bin/SFX/url.pl/DY8 | |
| dc.identifier.citation | Lemieux, S. (2007). Locally finite-indicable groups. COMMUNICATIONS IN ALGEBRA, 35(10), 3195–3198. https://doi.org/10.1080/00914030701410021 | |
| dc.identifier.doi | https://doi.org/10.1080/00914030701410021 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14078/1943 | |
| dc.language | English | |
| dc.language.iso | en | |
| dc.rights | All Rights Reserved | |
| dc.subject | infinite alternating group | |
| dc.subject | locally indicable groups | |
| dc.subject | normal systems | |
| dc.subject | quasi-varieties | |
| dc.title | Locally finite-indicable groups | en |
| dc.type | Article | |
| dspace.entity.type |