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Talk:Centralizer and normalizer

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This is an old revision of this page, as edited by Zaunlen (talk | contribs) at 15:14, 10 November 2019 (Suggestion about sentence in the introduction). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.
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Centralizers in symmetric monoidal closed categories

If M is a monoid in a symmetric monoidal closed category V with equalizers and is any morphism in V with codomain M, one can define the centralizer of f as the equalizer of the two multiplication maps induced by f. GeoffreyT2000 (talk) 16:39, 17 May 2015 (UTC)[reply]

Sentence in introduction

In the beginning, it says *The centralizer and normalizer of S are subgroups of G, and can provide insight into the structure of G.* Can this be made more specific? In which way do they provide insight into the structure of G? Is there a particular theorem indicating this? Zaunlen (talk) 15:14, 10 November 2019 (UTC)[reply]