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The Baer-invariant and the direct limit

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Abstract

In this note we establish that the Baer-invariant of a group commutes with direct limit. It has a very useful application so that if one works with the Baerinvariant, or in particular Schur-multiplicator, of arbitrary groups it is only needed to take the groups to be finitely generated.

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  1. Department of Mathematics School of Sciences, Mashhad University, Mashhad, Iran

    Mohammad Reza R. Moghaddam

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  1. Mohammad Reza R. Moghaddam
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Moghaddam, M.R.R. The Baer-invariant and the direct limit. Monatshefte für Mathematik 90, 37–43 (1980). https://doi.org/10.1007/BF01641710

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  • DOI: https://doi.org/10.1007/BF01641710

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