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Minimum subgroup of a group is called _____________

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in Discrete Mathematics by (558k points)
Minimum subgroup of a group is called _____________

(a) a commutative subgroup

(b) a lattice

(c) a trivial group

(d) a monoid

I had been asked this question during an online exam.

The query is from Groups topic in portion Groups of Discrete Mathematics

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The correct answer is (c) a trivial group

The best explanation: The subgroups of any given group form a complete lattice under inclusion termed as a lattice of subgroups. If o is the Identity element of a group(G), then the trivial group(o) is the minimum subgroup of that group and G is the maximum subgroup.

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