Article

A Generalized Goursat Lemma

08/2011;
Source: arXiv

ABSTRACT 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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  • MR 0098138 (20 #4600) [Lam76] , Lectures on Rings and Modules Chelsea Pub-lishing Co. MR 0419493 (54 #7514) [Lan02] S. Lang, Algebra, revised third ed. J Math . 45-5600003.

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