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Minimum subgroup of a group is called _____________(a) a commutative subgroup(b) a lattice(c) a trivial group(d) a monoidI had been asked this question during an online exam.The query is from Groups topic in portion Groups of Discrete Mathematics

Answer»

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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