Zariski dense subgroups of semisimple algebraic groups with isomorphic -adic closures.

Nguyêñ Quôć Thǎńg

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Normal Subgroup of Product of Groups

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In [6] it was formalized that the direct product of a family of groups gives a new group. In this article, we formalize that for all j ∈ I, the group G = Πi∈IGi has a normal subgroup isomorphic to Gj. Moreover, we show some relations between a family of groups and its direct product.