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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeOct 10th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexstarting something <a href="https://ncatlab.org/nlab/revision/group+completion+theorem/1">v1</a>, <a href="https://ncatlab.org/nlab/show/group+completion+theorem">current</a>

   starting something

   v1, current

2. • CommentRowNumber2.
   • CommentAuthornLab edit announcer
   • CommentTimeOct 11th 2019
   • PermaLink
   Author: nLab edit announcer
   Format: MarkdownItexAdd a note by Nikolaus. Anonymous <a href="https://ncatlab.org/nlab/revision/diff/group+completion+theorem/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/group+completion+theorem/3">v3</a>, <a href="https://ncatlab.org/nlab/show/group+completion+theorem">current</a>

   Add a note by Nikolaus.

   Anonymous

   diff, v3, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeOct 11th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexThanks! I have added some words and cross-links around it. <a href="https://ncatlab.org/nlab/revision/diff/group+completion+theorem/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/group+completion+theorem/4">v4</a>, <a href="https://ncatlab.org/nlab/show/group+completion+theorem">current</a>

   Thanks! I have added some words and cross-links around it.

   diff, v4, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeOct 17th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to * [[Michael Barratt]], [[Stewart Priddy]], _On the homology of non-connected monoids and their associated groups_, Commentarii Mathematici Helvetici (1972) 47: 1 ([doi:10.1007/BF02566785](https://doi.org/10.1007/BF02566785)) <a href="https://ncatlab.org/nlab/revision/diff/group+completion+theorem/6">diff</a>, <a href="https://ncatlab.org/nlab/revision/group+completion+theorem/6">v6</a>, <a href="https://ncatlab.org/nlab/show/group+completion+theorem">current</a>

   added pointer to

   • Michael Barratt, Stewart Priddy, On the homology of non-connected monoids and their associated groups, Commentarii Mathematici Helvetici (1972) 47: 1 (doi:10.1007/BF02566785)

   diff, v6, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeOct 17th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexheroically tracked down this reference: * [[Daniel Quillen]], _On the group completion of a simplicial monoid_, Appendix Q in: [[Eric Friedlander]], [[Barry Mazur]], _Filtrations on the homology of algebraic varieties_, Memoir of the A.M.S., Vol. 110, no. 529 (1994) ([doi:10.1090/memo/0529](http://dx.doi.org/10.1090/memo/0529)) <a href="https://ncatlab.org/nlab/revision/diff/group+completion+theorem/7">diff</a>, <a href="https://ncatlab.org/nlab/revision/group+completion+theorem/7">v7</a>, <a href="https://ncatlab.org/nlab/show/group+completion+theorem">current</a>

   heroically tracked down this reference:

   • Daniel Quillen, On the group completion of a simplicial monoid, Appendix Q in: Eric Friedlander, Barry Mazur, Filtrations on the homology of algebraic varieties, Memoir of the A.M.S., Vol. 110, no. 529 (1994) (doi:10.1090/memo/0529)

   diff, v7, current

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeOct 17th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to this: * [[Ieke Moerdijk]], _Bisimplicial Sets and the Group-Completion Theorem_ In: [[Rick Jardine]], [[Victor Snaith]] (eds.) _Algebraic K-Theory: Connections with Geometry and Topology_, NATO ASI Series (Series C: Mathematical and Physical Sciences), vol 279. Springer, Dordrecht (1989) ([doi:10.1007/978-94-009-2399-7_10](https://doi.org/10.1007/978-94-009-2399-7_10)) <a href="https://ncatlab.org/nlab/revision/diff/group+completion+theorem/9">diff</a>, <a href="https://ncatlab.org/nlab/revision/group+completion+theorem/9">v9</a>, <a href="https://ncatlab.org/nlab/show/group+completion+theorem">current</a>

   added pointer to this:

   • Ieke Moerdijk, Bisimplicial Sets and the Group-Completion Theorem In: Rick Jardine, Victor Snaith (eds.) Algebraic K-Theory: Connections with Geometry and Topology, NATO ASI Series (Series C: Mathematical and Physical Sciences), vol 279. Springer, Dordrecht (1989) (doi:10.1007/978-94-009-2399-7_10)

   diff, v9, current

7. • CommentRowNumber7.
   • CommentAuthorDmitri Pavlov
   • CommentTimeMay 28th 2021
   • PermaLink
   Author: Dmitri Pavlov
   Format: MarkdownItexA proof based on Nikolaus's proof was written up in * Oscar Bendix Harr, _Group completion is a completion_, [PDF](http://web.math.ku.dk/~jg/students/oscar-bsthesis.pdf). <a href="https://ncatlab.org/nlab/revision/diff/group+completion+theorem/12">diff</a>, <a href="https://ncatlab.org/nlab/revision/group+completion+theorem/12">v12</a>, <a href="https://ncatlab.org/nlab/show/group+completion+theorem">current</a>

   A proof based on Nikolaus’s proof was written up in

   • Oscar Bendix Harr, Group completion is a completion, PDF.

   diff, v12, current