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Cohomology, Poincare Series, and Group Algebras of Unipotent Groups

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Publication:3679382
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DOI10.2307/2374368zbMath0565.20023OpenAlexW2316204307MaRDI QIDQ3679382

Andy R. Magid, Alexander Lubotzky

Publication date: 1985

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374368

zbMATH Keywords

relationsPoincaré serieslower central seriesminimal number of generatorsfinitely generatedaugmentation idealcomplete group algebraincreasing filtrationtranslation actionG- modulesprounipotent group


Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Cohomology theory for linear algebraic groups (20G10) Limits, profinite groups (20E18) Group schemes (14L15)


Related Items

Coordinate rings of prounipotent groups, Relation modules of prounipotent groups, GOLOD–SHAFAREVICH GROUPS: A SURVEY, Small infinite dimensional modules for algebraic groups, Motivic fundamental groups and integral points, Relative completions of linear groups over $\mathbb {Z}[t$ and $\mathbb {Z}[t,t^{-1}]$], On pro-unipotent groups satisfying the Golod–Shafarevich condition



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