Call Now to Set Up Tutoring:

(888) 888-0446

Abstract Algebra : Structure Theory

Study concepts, example questions & explanations for Abstract Algebra

Create An Account

All Abstract Algebra Resources

9 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Structure Theory

identify the following definition.

Given $\displaystyle A$ is a normal subgroup of $\displaystyle B$ , it is denoted that A/B $\displaystyle A/B$ when the group of left cosets of $\displaystyle A$ in $\displaystyle B$ is called __________.

Possible Answers:

Subgroup

Simple Group

Cosets

Factor Group

Normal Group

Correct answer:

Factor Group

Explanation:

By definition of a factor group it is stated,

Report an Error

Example Question #1 : Structure Theory

Determine whether the statement is true of false:

$\displaystyle (aA)(bA)=abA$

Possible Answers:

False

True

Correct answer:

True

Explanation:

This statement is true based on the following theorem.

For all $\displaystyle a$ , $\displaystyle b$ in $\displaystyle G$ .

If $\displaystyle A$ is a normal subgroup of $\displaystyle G$ then the cosets of $\displaystyle A$ forms a group under the multiplication given by,

$\displaystyle (aA)(bA)=abA$

Report an Error

View Tutors

Diana
Certified Tutor

Secretaria de Educacion, Bachelor of Education, Education.

View Tutors

Angelo
Certified Tutor

University of Florida, Master of Science, Electrical Engineering. University of Pennsylvania, Masters in Business Administrat...

View Tutors

Karen
Certified Tutor

Fort Hays State University, Master of Science, Mathematics.

All Abstract Algebra Resources

9 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

SSAT Tutors in Houston, LSAT Tutors in Los Angeles, ACT Tutors in San Francisco-Bay Area, SSAT Tutors in Philadelphia, LSAT Tutors in Boston, SSAT Tutors in Chicago, Computer Science Tutors in San Francisco-Bay Area, SSAT Tutors in New York City, Biology Tutors in Washington DC, MCAT Tutors in Denver

Popular Courses & Classes

GRE Courses & Classes in Dallas Fort Worth, ACT Courses & Classes in Phoenix, MCAT Courses & Classes in Phoenix, LSAT Courses & Classes in Denver, SAT Courses & Classes in Phoenix, GRE Courses & Classes in Seattle, SSAT Courses & Classes in Denver, LSAT Courses & Classes in Dallas Fort Worth, SAT Courses & Classes in Philadelphia, GMAT Courses & Classes in Washington DC

Popular Test Prep

GMAT Test Prep in San Francisco-Bay Area, LSAT Test Prep in San Diego, SSAT Test Prep in San Diego, LSAT Test Prep in Seattle, ACT Test Prep in Miami, ACT Test Prep in Phoenix, MCAT Test Prep in Philadelphia, GMAT Test Prep in Washington DC, ISEE Test Prep in San Diego, GRE Test Prep in Houston

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Abstract Algebra : Structure Theory

Study concepts, example questions & explanations for Abstract Algebra

All Abstract Algebra Resources

Example Questions

Example Question #1 : Structure Theory

Example Question #1 : Structure Theory

All Abstract Algebra Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: