Generalizing the Hilton–Mislin genus group

dc.contributor.authorWitbooi, Peter J.
dc.date.accessioned2023-03-06T10:08:37Z
dc.date.available2023-03-06T10:08:37Z
dc.date.issued2001
dc.description.abstractFor 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.identifier.citationWitbooi, P. J. (2001). Generalizing the Hilton–Mislin genus group. Journal of Algebra, 239 (1) , 327-339. https://doi.org/10.1006/jabr.2000.8676en_US
dc.identifier.issn1090-266X
dc.identifier.urihttps://doi.org/10.1006/jabr.2000.8676
dc.identifier.urihttp://hdl.handle.net/10566/8537
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.subjectMathematicsen_US
dc.subjectIsomorphismen_US
dc.subjectHilton-Mislinen_US
dc.titleGeneralizing the Hilton–Mislin genus groupen_US
dc.typeArticleen_US

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