Large localizations of finite groups
Copyright policy )Large localizations of finite groups
We construct examples of localizations in the category of groups which take the Mathieu group $M_{11}$ to groups of arbitrarily large cardinality which are ``abelian up to finitely many generators''. The paper is part of a broader study on the group theoretic properties which are or are not preserved by localizations.
15 pages, to appear in J. Algebra
- Warsaw University of Life Sciences Poland
- University of Warsaw Poland
20J15; 20D99, Algebra and Number Theory, 20J15, Category of groups, Group Theory (math.GR), localizations, Localizations, Finite groups, Mathieu group \(M_{11}\), Localization and completion in homotopy theory, finite simple groups, FOS: Mathematics, 20D99, Groups acting on trees, categories of groups, Mathematics - Group Theory, Simple groups: sporadic groups
20J15; 20D99, Algebra and Number Theory, 20J15, Category of groups, Group Theory (math.GR), localizations, Localizations, Finite groups, Mathieu group \(M_{11}\), Localization and completion in homotopy theory, finite simple groups, FOS: Mathematics, 20D99, Groups acting on trees, categories of groups, Mathematics - Group Theory, Simple groups: sporadic groups
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