(a) Let G be a group and {H i | i I } a family of...

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(a) Let G be a group and {Hi| i ϵ I} a family of subgroups. State and prove a condition that will imply that

Hi is a subgroup, that is, that

(b) Give an example of a group G and a family of subgroups {Hi| i ϵ /} such that

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