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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