Give an example of a group, G, and a proper subgroup, H, where H has finite...

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Give an example of a group, G, and a proper subgroup, H, where H has finite index in G and H has infinite order. 2. Give an example of a group, G, and a proper subgroup, H, where H has infinite index in G and H has finite order. (Hint: you won't be able to find this with the groups that we work a lot with. Try looking in SO(R)) Give an example of a group, G, and a proper subgroup, H, where H has finite index in G and H has infinite order. 2. Give an example of a group, G, and a proper subgroup, H, where H has infinite index in G and H has finite order. (Hint: you won't be able to find this with the groups that we work a lot with. Try looking in SO(R))

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