An infinite cyclic group does not have a ______ series.
A. AP
B. GP
C. Composite
D. Finite
Answer:C
An infinite cyclic group does not have a ______ series.
A. AP B. GP C. Composite D. Finite
Explanation: 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.