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This question is based on a question when is the restriction $H^2(G,\mathbb{C}^*)\to H^2(K,\mathbb{C}^*)$ surjective?when is the restriction $H^2(G,\mathbb{C}^*)\to H^2(K,\mathbb{C}^*)$ surjective? I am asking this as a new question as I already asked that user but got no response.

I wish to know what is that algorithm by which I can check that a 2-cocycle on $K$ is image of 2-cocycle on some some subgroup of $G$ under the restriction map.

This question is based on a question when is the restriction $H^2(G,\mathbb{C}^*)\to H^2(K,\mathbb{C}^*)$ surjective? I am asking this as a new question as I already asked that user but got no response.

I wish to know what is that algorithm by which I can check that a 2-cocycle on $K$ is image of 2-cocycle on some some subgroup of $G$ under the restriction map.

This question is based on a question when is the restriction $H^2(G,\mathbb{C}^*)\to H^2(K,\mathbb{C}^*)$ surjective? I am asking this as a new question as I already asked that user but got no response.

I wish to know what is that algorithm by which I can check that a 2-cocycle on $K$ is image of 2-cocycle on some some subgroup of $G$ under the restriction map.

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Steve
Steve
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When can a 2-cocycle on a subgroup can be extended?

This question is based on a question when is the restriction $H^2(G,\mathbb{C}^*)\to H^2(K,\mathbb{C}^*)$ surjective? I am asking this as a new question as I already asked that user but got no response.

I wish to know what is that algorithm by which I can check that a 2-cocycle on $K$ is image of 2-cocycle on some some subgroup of $G$ under the restriction map.