Physics · Abstract Algebra
Let a group G act on a non-empty set A. This action is called faithful (or exact) if the kernel of the action is trivial, which means:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1{g ∈ G | g.a = a for all a ∈ A} = G
- 2{g ∈ G | g.a = a for all a ∈ A} = A
- 3{g ∈ G | g.a = a for all a ∈ A} = {e}, where e is the identity element of G✓
- 4{g ∈ G | g.a = a for all a ∈ A} = ∅
Correct answer
{g ∈ G | g.a = a for all a ∈ A} = {e}, where e is the identity element of G
Download Single Question PDF
Save this question and verified answer as a clean study sheet with live clickable link.
👥
Share with Friends & Study Groups
Challenge your peer aspirants on WhatsApp or Telegram to solve this question!
Online Test Series
Start Free Mock Test →Preparing for Physics?
Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.
Chapter Practice
Practice Abstract Algebra MCQs →Want more practice questions on Abstract Algebra?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Physics · Abstract Algebra