Mathematics Exam  >  Mathematics Questions  >  If g=z4×z2 and h= then g/h is isomorphic to? Start Learning for Free
If g=z4×z2 and h=<(2,1)> then g/h is isomorphic to?
Most Upvoted Answer
If g=z4×z2 and h= then g/h is isomorphic to?
Giving the question context:
In this question, we are given two mathematical expressions, g and h. We are asked to determine what g/h is isomorphic to. To do this, we need to understand the given expressions and their properties.

Understanding the given expressions:
Let's start by understanding the expressions g and h.

Expression g:
g = z4 × z2

Here, z4 represents the cyclic group of order 4, and z2 represents the cyclic group of order 2. The × symbol denotes the direct product of two groups.

The direct product of two groups is a way of combining them to create a new group. In this case, the direct product of z4 and z2 would result in a group with 4 × 2 = 8 elements.

Expression h:
Unfortunately, the expression for h is missing in the question. Please provide the expression for h so that we can proceed with the solution.

Conclusion:
To determine what g/h is isomorphic to, we need the expression for h. Once we have that, we can analyze the properties of g/h and find a group that is isomorphic to it.
Explore Courses for Mathematics exam
If g=z4×z2 and h= then g/h is isomorphic to?
Question Description
If g=z4×z2 and h= then g/h is isomorphic to? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about If g=z4×z2 and h= then g/h is isomorphic to? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If g=z4×z2 and h= then g/h is isomorphic to?.
Solutions for If g=z4×z2 and h= then g/h is isomorphic to? in English & in Hindi are available as part of our courses for Mathematics. Download more important topics, notes, lectures and mock test series for Mathematics Exam by signing up for free.
Here you can find the meaning of If g=z4×z2 and h= then g/h is isomorphic to? defined & explained in the simplest way possible. Besides giving the explanation of If g=z4×z2 and h= then g/h is isomorphic to?, a detailed solution for If g=z4×z2 and h= then g/h is isomorphic to? has been provided alongside types of If g=z4×z2 and h= then g/h is isomorphic to? theory, EduRev gives you an ample number of questions to practice If g=z4×z2 and h= then g/h is isomorphic to? tests, examples and also practice Mathematics 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.
10M+ students study on EduRev