| dc.contributor.author | Witbooi, Peter J. | |
| dc.date.accessioned | 2023-03-06T10:08:37Z | |
| dc.date.available | 2023-03-06T10:08:37Z | |
| dc.date.issued | 2001 | |
| dc.identifier.citation | Witbooi, P. J. (2001). Generalizing the Hilton–Mislin genus group. Journal of Algebra, 239 (1) , 327-339. https://doi.org/10.1006/jabr.2000.8676 | en_US |
| dc.identifier.issn | 1090-266X | |
| dc.identifier.uri | https://doi.org/10.1006/jabr.2000.8676 | |
| dc.identifier.uri | http://hdl.handle.net/10566/8537 | |
| dc.description.abstract | For any group H, let H be the set of all isomorphism classes of groups K
such that K H . For a finitely generated group H having finite commu-
Ž .tator subgroup H, H , we define a group structure on H in terms of embed-
dings of K into H, for groups K of which the isomorphism classes belong to
Ž . H . If H is nilpotent, then the group we obtain coincides with the genus group
Ž .GG H defined by Hilton and Mislin. We obtain some new results on Hilton Mislin
genus groups as well as generalizations of known results. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.subject | Mathematics | en_US |
| dc.subject | Isomorphism | en_US |
| dc.subject | Hilton-Mislin | en_US |
| dc.title | Generalizing the Hilton–Mislin genus group | en_US |
| dc.type | Article | en_US |
