Genus and cancellation

DOI10.1080/00927870008827032zbMath0962.20025OpenAlexW2119667019MaRDI QIDQ4489726

Niamh O'Sullivan

Publication date: 20 March 2001

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870008827032

zbMATH Keywords

finitely generated groupsnilpotent groupsgenusAbelian-by-finite groupsintegral representation theorylocalizations

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Nilpotent groups (20F18) Localization and completion in homotopy theory (55P60) Extensions, wreath products, and other compositions of groups (20E22) Integral representations of infinite groups (20C12)

Related Items (2)

Induced Morphisms Between Localization Genera of Groups ⋮ On the localization genus of a direct product of metacyclic groups

Cites Work

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• The genus of a module. II: Roiter's theorem, power cancellation and extension of scalars
• Profinite completions and isomorphic finite quotients
• On the genus of a nilpotent group with finite commutator subgroup.
• Genus and cancellation for groups with finite commutator subgroups
• On the relationship between the localization of groups and that of relative groups
• On -Adic Integral Representations of Finite Groups

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