All Abstract Algebra Resources
Example Questions
Example Question #1 : Groups
identify the following definition.
Given __________.
is a normal subgroup of , it is denoted that when the group of left cosets of in is called
Possible Answers:
Subgroup
Normal Group
Factor Group
Simple Group
Cosets
Correct answer:
Factor Group
Explanation:
By definition of a factor group it is stated,
Given
is a normal subgroup of , it is denoted that when the group of left cosets of in is called the factor group of which is determined by .Example Question #1 : Abstract Algebra
Determine whether the statement is true of false:
Possible Answers:
True
False
Correct answer:
True
Explanation:
This statement is true based on the following theorem.
For all
, in .If
is a normal subgroup of then the cosets of forms a group under the multiplication given by,
Sahnnee
Certified Tutor
Certified Tutor
Vanderbilt University, Bachelor of Science, Mathematics and Computer Science.
All Abstract Algebra Resources
Popular Subjects
Physics Tutors in Philadelphia, SAT Tutors in San Francisco-Bay Area, GMAT Tutors in Philadelphia, ACT Tutors in Seattle, GRE Tutors in Philadelphia, Algebra Tutors in Phoenix, ACT Tutors in Denver, Reading Tutors in Atlanta, SSAT Tutors in Phoenix, Algebra Tutors in San Diego
Popular Courses & Classes
SAT Courses & Classes in Chicago, SAT Courses & Classes in Atlanta, ACT Courses & Classes in Washington DC, Spanish Courses & Classes in New York City, Spanish Courses & Classes in Chicago, GRE Courses & Classes in Philadelphia, ACT Courses & Classes in Dallas Fort Worth, MCAT Courses & Classes in Atlanta, ISEE Courses & Classes in Atlanta, GRE Courses & Classes in Phoenix
Popular Test Prep
LSAT Test Prep in San Francisco-Bay Area, GRE Test Prep in New York City, GRE Test Prep in Seattle, GRE Test Prep in Atlanta, ISEE Test Prep in Atlanta, ISEE Test Prep in Washington DC, ACT Test Prep in Washington DC, MCAT Test Prep in San Diego, ISEE Test Prep in San Diego, LSAT Test Prep in Atlanta
