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Results tagged with gr.group-theory
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user 26705
Questions about the branch of algebra that deals with groups.
8
votes
Accepted
Elementary extensions of direct product
Yes. Let $T$ be the theory of two disjoint groups, in the language $(\cdot_1, \cdot_2, U_1, U_2)$. Note that if $(G_1, G_2) \models T$ then the group operation on $G_1 \times G_2$ is definable without …
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