Large localizations of finite groups

Details Large localizations of finite groups Large localizations of finite groups

2008-10-09

arxiv.org/abs/0810.1632v1

Mathematics

Group Theory

15 pages, to appear in J. Algebra

Scientific paper

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.

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