An ``almost full embedding of the category of graphs into the category of groups

DOI10.1016/j.aim.2010.04.015zbMath1217.18005arXiv0912.0510OpenAlexW2121630138MaRDI QIDQ1959448

Adam J. Przeździecki

Publication date: 7 October 2010

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

Full work available at URL: https://arxiv.org/abs/0912.0510

zbMATH Keywords

homotopy categorylocalizationlarge cardinalscategory of groupsorthogonality class of graphs

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Localization and completion in homotopy theory (55P60) Large cardinals (03E55) Special properties of functors (faithful, full, etc.) (18A22) Category of groups (20J15)

Related Items (3)

An axiomatic construction of an almost full embedding of the category of graphs into the category of \(R\)-objects ⋮ An almost full embedding of the category of graphs into the category of abelian groups ⋮ Chains of Group Localizations

Cites Work

• Any group is represented by an outerautomorphism group
• Every cotorsion-free algebra is an endomorphism algebra
• Infinite Abelian groups, Whitehead problem and some constructions
• A note on the localization of finite groups
• Large E-rings exist
• Properties of endomorphism rings of Abelian groups. II.
• Large localizations of finite groups.
• Implications of large-cardinal principles in homotopical localization
• UNCOUNTABLE ORTHOGONALITY IS A CLOSURE PROPERTY
• CONSTRUCTING SIMPLE GROUPS FOR LOCALIZATIONS
• Large localizations of finite simple groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An ``almost full embedding of the category of graphs into the category of groups