say you have two subgroups and an order preserving group homomorphism which maps the identity of to the identity of Can we show that for all so that we can identify as a subgroup of and is then just the inclusion?
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Originally Posted by Mauritzvdworm say you have two subgroups and an order preserving group homomorphism which maps the identity of to the identity of Can we show that for all so that we can identify as a subgroup of and is then just the inclusion? The condition is very strong, and it'd mean (i.e. not only as identification but as actual subset of a set...). But from the given data yes: and thus G is embedded in H. Tonio
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