UP TGT Mathematics Set Theory Test Series - Part 3

In a finite group G, the order of any element a ∈ G always:

Type: MCQ • Marks: 1
In a finite group G, the order of any element a ∈ G always:
Options
A. Divides the order of G
B. Multiplies the order of G
C. Equals order of G
D. Is prime
Explanation
By Corollary to Lagrange's Theorem, o(a) divides |G| for every a ∈ 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 TGT Mathematics

Practice more

This page is indexed for search so students can find questions directly from Google.

Purchase Full Access View full Test Series Browse Test Series
Login / Register
Chat on WhatsApp Go Back Top