Generalizing the Hilton–Mislin genus group
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Date
2001
Authors
Journal Title
Journal ISSN
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Publisher
Elsevier
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.
Description
Keywords
Mathematics, Isomorphism, Hilton-Mislin
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