A Generalized Goursat Lemma

Details A Generalized Goursat Lemma A Generalized Goursat Lemma

2011-08-31

arxiv.org/abs/1109.0024v2

Mathematics

Group Theory

11 pages. This version corrects several minor typographical errors which appeared in the original version

Scientific paper

In this note the usual Goursat lemma, which describes subgroups of the direct
product of two groups, is generalized to describing subgroups of a direct
product \ $A_1\times A_2 \times...\times A_n$ \ of a finite number of groups.
Other possible generalizations are discussed and an application to cyclic
subgroups is given.

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