Genus of a pullback

dc.contributor.author	Tonisi, Thandile
dc.date.accessioned	2021-12-13T15:35:22Z
dc.date.available	2021-12-13T15:35:22Z
dc.date.issued	2021
dc.description	A dissertation submitted in fulfilment of the requirements for the degree of Master of Science (Mathematics) to the Faculty of Science, School of Mathematics, University of the Witwatersrand, Johannesburg, 2021	en_ZA
dc.description.abstract	Let Q be a finitely generated nilpotent group. The Mislin genus G (Q) is defined to be the set of isomorphism classes of finitely generated nilpotent groups R such that for every prime p, the p-localizations Rp and Qp are isomorphic. If the group Q has a finite commutator sub group, the genus admits an abelian group structure. In this work, we study the Mislin genus of nilpotent groups through pullbacks. For a relatively prime pair of natural numbers (n, u), let Q = hx, y \| x n = 1, yxy−1 = x u i, where Q is a pullback. We compute the genus G (Q) and we investigate the relationship between the genera of these nilpo tent groups.	en_ZA
dc.description.librarian	TL (2021)	en_ZA
dc.faculty	Faculty of Science	en_ZA
dc.identifier.uri	https://hdl.handle.net/10539/32288
dc.language.iso	en	en_ZA
dc.school	School of Mathematics	en_ZA
dc.title	Genus of a pullback	en_ZA
dc.type	Thesis	en_ZA

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