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Trivial group
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== Definitions == Given any group {{tmath|1= G }}, the group that consists of only the identity element is a [[subgroup]] of {{tmath|1= G }}, and, being the trivial group, is called the '''{{visible anchor|trivial subgroup}}''' of {{tmath|1= G }}. The term, when referred to "{{tmath|1= G }} has no nontrivial proper subgroups" refers to the only subgroups of {{tmath|1= G }} being the trivial group {{tmath|1= \{ \mathrm{e} \} }} and the group {{tmath|1= G }} itself.
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