Incoherence of integral group rings.

DOI10.1016/j.jalgebra.2004.03.014zbMath1070.20003OpenAlexW1967408398MaRDI QIDQ1771330

Francis E. A. Johnson

Publication date: 21 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.03.014

zbMATH Keywords

projective modulesAbelian categoriescoherent ringsfinitely presented modulesderived modulesinfinite kernel propertyproducts of free groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Module categories in associative algebras (16D90) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Abelian categories, Grothendieck categories (18E10) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Cites Work

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• Periodic resolutions for finite groups
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• Algebraic K-theory of generalized free products. II
• Surface groups inside mapping class groups
• Some remarks on the invariant basis property
• Free subgroups in linear groups
• The universal skew field of fractions ofa tensor product of free rings
• On normal subgroups of direct products
• The Nonfiniteness of Nil
• On Some Groups which cannot be Finitely Presented
• SURFACE FIBRATIONS AND AUTOMORPHISMS OF NONABELIAN EXTENSIONS

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