Every group is a subgroup of an acyclic group

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Revision as of 22:32, 23 October 2008 by Vipul (talk | contribs) (New page: {{embeddability theorem}} ==Statement== Every group can be realized as a subgroup of an acyclic group. ==Related facts== ===Stronger facts=== * [[Every group is a conjugacy-closed...)
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This article gives the statement, and possibly proof, of an embeddability theorem: a result that states that any group of a certain kind can be embedded in a group of a more restricted kind.
View a complete list of embeddability theorems

Statement

Every group can be realized as a subgroup of an acyclic group.

Related facts

Stronger facts

Other related facts