Mathematics · Group Theory
When a non-trivial subgroup H acts on a group G by left multiplication, which of the following statements is NOT correct?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1There are no fixed points under this action if H is non-trivial.
- 2The stabilizer of any element 'a' is trivial, i.e., Stab(a) = {e}.
- 3The orbits under this action are the right H-cosets.✓
- 4The orbits under this action are the left H-cosets.
Correct answer
The orbits under this action are the right H-cosets.
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 Mathematics?
Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.
Chapter Practice
Practice Group Theory MCQs →Want more practice questions on Group Theory?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Mathematics · Group Theory