Reference requested: injective modules and subgroups
Clash Royale CLAN TAG#URR8PPP
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Let $G$ be a group, and let $H$ be a subgroup of $G$. Suppose that $E$ is an injective module over $mathbbZG$. Then I think that, as a consequence of Baer's criterion, $E$ is also an injective module over $mathbbZH$.
If I am right, then the above property shall be well-known, but I am not aware of any reference. Could anyone provide a reference or disprove the statement? Thanks!
group-rings injective-module
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up vote
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down vote
favorite
Let $G$ be a group, and let $H$ be a subgroup of $G$. Suppose that $E$ is an injective module over $mathbbZG$. Then I think that, as a consequence of Baer's criterion, $E$ is also an injective module over $mathbbZH$.
If I am right, then the above property shall be well-known, but I am not aware of any reference. Could anyone provide a reference or disprove the statement? Thanks!
group-rings injective-module
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Let $G$ be a group, and let $H$ be a subgroup of $G$. Suppose that $E$ is an injective module over $mathbbZG$. Then I think that, as a consequence of Baer's criterion, $E$ is also an injective module over $mathbbZH$.
If I am right, then the above property shall be well-known, but I am not aware of any reference. Could anyone provide a reference or disprove the statement? Thanks!
group-rings injective-module
Let $G$ be a group, and let $H$ be a subgroup of $G$. Suppose that $E$ is an injective module over $mathbbZG$. Then I think that, as a consequence of Baer's criterion, $E$ is also an injective module over $mathbbZH$.
If I am right, then the above property shall be well-known, but I am not aware of any reference. Could anyone provide a reference or disprove the statement? Thanks!
group-rings injective-module
group-rings injective-module
asked Sep 1 at 5:57
Sun65537
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