a show that a group that has only a finite number of subgroups must be a finite group b let g be

Name: a show that a group that has only a finite number of subgroups must be a finite group b let g be a group that has exactly one nontrivial proper subgroup show that g must be isomorphic to zp2 54827
Uploaded: 2023-05-14T21:21:57-08:00
Duration: 3 min 56 s
Channel: Hoan Nguyen
Description: a show that a group that has only a finite number of subgroups must be a finite group b let g be a group that has exactly one nontrivial proper subgroup show that g must be isomorphic to zp2 54827

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Donna Densmore · Accepted Answer

(a) Suppose $G$ is an infinite group. Then for each $n in mathbb{N}$, consider the subgroup ge

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