Mathematics · Group Theory

Let G = {1, -1, i, -i} be a multiplicative group, and H = {1, -1} is a subgroup of G, then:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1None of the above
2H is a normal subgroup of G✓
3H is not a subset of G
4H is not a normal subgroup of G

Correct answer

H is a normal subgroup 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

Preparing for Mathematics?

Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.

Start Free Mock Test →

Chapter Practice

Want more practice questions on Group Theory?

Solve complete topic-wise tests with detailed solutions on GkGet.

Practice Group Theory MCQs →

Recommended practice questions in Mathematics · Group Theory

Browse More Mathematics →

Which Indian independence movement leader was primarily known for his philosophy and practice of non-violent civil disobedience?

Solve Question→

Who gave the call for 'Do or Die' during the Quit India Movement in 1942?

Solve Question→

Which of the following revolutionary pairs were imprisoned together in Cellular Jail and faced harsh conditions, contributing significantly to the Indian independence movement?

Let G = {1, -1, i, -i} be a multiplicative group, and H = {1, -1} is a subgroup of G, then:

Download Single Question PDF

Share with Friends & Study Groups

Preparing for Mathematics?

Practice by Subject

Practice by Exam

Topic-Wise Solved Questions

Let G = {1, -1, i, -i} be a multiplicative group, and H = {1, -1} is a subgroup of G, then:

Download Single Question PDF

Share with Friends & Study Groups

Preparing for Mathematics?

Related Practice Questions

Practice by Subject

Practice by Exam

Topic-Wise Solved Questions