Quadratic endofunctors of the category of groups

DOI10.1006/aima.1998.1784zbMath0923.20042OpenAlexW2062775617MaRDI QIDQ1279833

Hans-Joachim Baues, Teimouraz Pirashvili

Publication date: 19 August 1999

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1998.1784

zbMATH Keywords

monoidal categoriescategories of groupsendofunctorsquadratic functors

Mathematics Subject Classification ID

Related Items (10)

Third Mac Lane cohomology via categorical rings ⋮ Quadratic functors on pointed categories ⋮ Unnamed Item ⋮ The 1-type of a Waldhausen \(K\)-theory spectrum ⋮ Quadratic algebra of square groups ⋮ Central reflections and nilpotency in exact Mal'tsev categories ⋮ Smash products for secondary homotopy groups ⋮ Toda Brackets and Cup-One Squares for Ring Spectra ⋮ Central stability for the homology of congruence subgroups and the second homology of Torelli groups ⋮ Finite presheaves and \(\mathscr{A}\)-finite generation of unstable algebras mod nilpotents

Cites Work

• Homology in group theory
• Combinatorial homotopy and 4-dimensional complexes
• Quadratic functors and metastable homotopy
• Quadratic categories and square rings
• Calculus. I: The first derivative of pseudoisotopy theory
• Homotopical algebra
• On the groups \(H(\Pi,n)\). II
• The Categories of Unstable Modules and Unstable Algebras Over the Steenrod Algebra Modulo Nilpotent Objects
• Homology in varieties of groups. I
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