1.

An infinite cyclic group does not have a ______ series.(a) AP(b) GP(c) Composite(d) FiniteI have been asked this question during an interview for a job.Question is taken from Cyclic Groups topic in chapter Groups of Discrete Mathematics

Answer»

Correct choice is (c) Composite

To elaborate: Suppose that any finite group of order less than n has a composition series. Let G be a finite group of order n. If G is simple, then G⊳{e}, where e is the identity element of G and HENCE, it is a composition series. HOWEVER, any INFINITE cyclic group does not have a composite series.



Discussion

No Comment Found

Related InterviewSolutions