Mathematics Exam > Mathematics Videos > Mathematics for Competitive Exams > Concept of Subgroup
Concept of Subgroup Video Lecture | Mathematics for Competitive Exams
|
98 videos|27 docs|30 tests
|
FAQs on Concept of Subgroup Video Lecture - Mathematics for Competitive Exams
| 1. What is a subgroup? |  |
Ans. A subgroup is a subset of a group that itself forms a group under the same operation as the original group. It contains the identity element of the group and is closed under the group operation.
| 2. How is a subgroup related to a group? | |
Ans. A subgroup is a subset of a group that retains the same group structure as the original group. It means that the subgroup follows the same group axioms as the group it is a part of, such as closure, associativity, identity element, and inverse element.
| 3. Can a subgroup have more elements than the original group? | |
Ans. No, a subgroup cannot have more elements than the original group. By definition, a subgroup is a subset of a group, which means it can only contain elements that are already present in the original group. However, a subgroup can have fewer elements or even the same number of elements as the original group.
| 4. How can we determine if a subset is a subgroup? | |
Ans. To determine if a subset is a subgroup, we need to check if it satisfies the subgroup criteria. The criteria are: (1) it contains the identity element of the group, (2) it is closed under the group operation, and (3) it contains the inverse element of each of its elements. If a subset meets these criteria, it is a subgroup.
| 5. Can a subgroup be empty? | |
Ans. No, a subgroup cannot be empty. By definition, a subgroup must contain the identity element of the group. Since the identity element is always present in a group, any subgroup must have at least one element, which is the identity element.
Related Exams
About this Video
|
Dec 23, 2024 Last updated |
Video Description: Concept of Subgroup for Mathematics 2024 is part of Mathematics for Competitive Exams preparation.
The notes and questions for Concept of Subgroup have been prepared according to the Mathematics exam syllabus.
Information about Concept of Subgroup covers all important topics for Mathematics 2024 Exam.
Find important definitions, questions, notes, meanings, examples, exercises and tests below for Concept of Subgroup.
Introduction of Concept of Subgroup in English is available as part of our Mathematics for Competitive Exams for Mathematics & Concept of Subgroup in
Hindi for Mathematics for Competitive Exams course. Download more important topics related with notes, lectures and mock test series for
Mathematics Exam by signing up for free.
Description
Video Lecture & Questions for Concept of Subgroup Video Lecture | Mathematics for Competitive Exams - Mathematics full syllabus preparation | Free video for Mathematics exam to prepare for Mathematics for Competitive Exams.
Information about Concept of Subgroup
Here you can find the meaning of Concept of Subgroup defined & explained in the simplest way possible.
Besides explaining types of Concept of Subgroup theory, EduRev gives you an ample number of questions to practice Concept of Subgroup tests,
examples and also practice Mathematics tests.
|
98 videos|27 docs|30 tests
|
|
Explore Courses for Mathematics exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
shortcuts and tricks
,Sample Paper
,ppt
,Extra Questions
,Exam
,MCQs
,Concept of Subgroup Video Lecture | Mathematics for Competitive Exams
,video lectures
,Free
,mock tests for examination
,Viva Questions
,Concept of Subgroup Video Lecture | Mathematics for Competitive Exams
,Objective type Questions
,Important questions
,Previous Year Questions with Solutions
,Concept of Subgroup Video Lecture | Mathematics for Competitive Exams
,Summary
,past year papers
,Semester Notes
,study material
,practice quizzes
;
Study Concept of Subgroup on the App
Students of Mathematics can study Concept of Subgroup alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Concept of Subgroup,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of Concept of Subgroup is prepared as per the latest Mathematics syllabus.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup