UP TGT Mathematics Set Theory Test Series - Part 1
If G is a group of order p^2 where p is prime, then G is:
Type: MCQ • Marks: 1
If G is a group of order p^2 where p is prime, then G is:
Options
A. Simple
B. Cyclic always
C. Non-abelian
D. Abelian
Explanation
Correct Answer: Option 4 (Abelian). Lagrange's Theorem states that for any finite group G, the order of every subgroup H divides the order of G (|G| = |H| * [G : H]). Hence element orders also divide |G|.
Want to attempt the full test series with a timer and instant score? Purchase the package to unlock the complete test.
Purchase Now
UP TGTMathematics
Practice more
This page is indexed for search so students can find questions directly from Google.
