From: Johannes Huebschmann <johannes.huebschmann@univ-lille.fr>
To: porst <porst@uni-bremen.de>
Cc: "categories@mta.ca list" <categories@mta.ca>
Subject: Re: Looking for a reference
Date: Wed, 15 Jul 2020 10:34:51 +0200 (CEST) [thread overview]
Message-ID: <E1jwDtP-0004w3-IK@rr.mta.ca> (raw)
In-Reply-To: <E1jvVgG-0005Cu-IT@rr.mta.ca>
This is implicit in Ch. 2 of
@book{0004.36904,
author="Reidemeister, Kurt",
title="{Einf\"uhrung in die kombinatorische Topologie.}",
language="German",
publisher="{Braunschweig: Friedr. Vieweg \& Sohn A.-G. XII, 209 S. }",
year="1932",
keywords="{topology}",
}
Every group is a homomorphic image of a free group.
Presumably it also implicit in
@Article{zbMATH02581122,
Author = {O. {Schreier}},
Title = {{Die Untergruppen der freien Gruppen.}},
FJournal = {{Abhandlungen aus dem Mathematischen Seminar der Universit\"at Hamburg}},
Journal = {{Abh. Math. Semin. Univ. Hamb.}},
ISSN = {0025-5858; 1865-8784/e},
Volume = {5},
Pages = {161--183},
Year = {1927},
Publisher = {Springer, Berlin/Heidelberg},
Language = {German},
Zbl = {53.0110.01}
}
Johannes
HUEBSCHMANN Johannes
Professeur émérite
Université de Lille - Sciences et Technologies
Département de Mathématiques
CNRS-UMR 8524 Laboratoire Paul Painlevé
Labex CEMPI (ANR-11-LABX-0007-01)
59 655 VILLENEUVE D'ASCQ Cedex/France
http://math.univ-lille1.fr/~huebschm
Johannes.Huebschmann@univ-lille.fr
----- Mail original -----
De: "porst" <porst@uni-bremen.de>
À: "categories@mta.ca list" <categories@mta.ca>
Envoyé: Mardi 14 Juillet 2020 18:08:51
Objet: categories: Looking for a reference
Dear all,
If I am not mistaken the characterization of free groups by its universal property has first been shown in the late 1920s. Does anybody know a reference?
Hans-E. Porst
--
Hans-E. Porst
porst@uni-bremen.de <mailto:porst@uni-bremen.de>
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next prev parent reply other threads:[~2020-07-15 8:34 UTC|newest]
Thread overview: 5+ messages / expand[flat|nested] mbox.gz Atom feed top
2020-07-14 16:08 porst
2020-07-15 8:34 ` Johannes Huebschmann [this message]
2020-07-15 10:03 ` Zoran Škoda
-- strict thread matches above, loose matches on Subject: below --
2014-09-14 19:10 looking " Fred E.J. Linton
2014-09-14 0:28 Dana Scott
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