Question

Show that there is no g in C_2 X C_2 for which 1, g, g^2, g^3...

Show that there is no g in C_2 X C_2 for which 1, g, g^2, g^3 are distinct, hence that C2 x C2 is not cyclic.

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Here we show that C2 X C2 is not cyclic that is we show that it has no generator means it has no elements taking whose power not covering all elements in that group.solution is below thank you.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1) Let G be a group and N be a normal subgroup. Show that if G...
1) Let G be a group and N be a normal subgroup. Show that if G is cyclic, then G/N is cyclic. Is the converse true? 2) What are the zero divisors of Z6?
find the graph g(x) x^4+2x^3+1; (1)fint the intervals on which g(x) is increasing or decreasing (2)find...
find the graph g(x) x^4+2x^3+1; (1)fint the intervals on which g(x) is increasing or decreasing (2)find local max and min (3)find the intervals of concavity and the inflection points.
Let F be a field and f(x), g(x) ? F[x] both be of degree ? n....
Let F be a field and f(x), g(x) ? F[x] both be of degree ? n. Suppose that there are distinct elements c0, c1, c2, · · · , cn ? F such that f(ci) = g(ci) for each i. Prove that f(x) = g(x) in F[x].
Show that the function f (x) = x^3 - 3 x^2 + 17 is not 1...
Show that the function f (x) = x^3 - 3 x^2 + 17 is not 1 - 1 (one to one) on the interval [-1,1]
Suppose f = x^3 + 2x^2 + x − 1 and g = x^2 + 3x...
Suppose f = x^3 + 2x^2 + x − 1 and g = x^2 + 3x + 3 in Q[x]. Find gcd(f, g) and express it in the form gcd(f, g) = uf + vg for u, v ∈ Q[x].
suppose and are functions that are differentiable at x=0 and that f(1)=2, f'(1)=-1, g(1)=-2, and g'(1)=3....
suppose and are functions that are differentiable at x=0 and that f(1)=2, f'(1)=-1, g(1)=-2, and g'(1)=3. Find the value of h'(1). 1) h(x)=f(x) g(x) 2) h(x)=xf(x) / x+g(x)
x g(x) g'(x) g''(x) g'''(x) g^(4)(x) 2 17 22 20 14 5 3 50 160/3 141/34...
x g(x) g'(x) g''(x) g'''(x) g^(4)(x) 2 17 22 20 14 5 3 50 160/3 141/34 21 151/8 a) write the third degree taylor polynomial P3 for g(x) at x=3 and use it to approximate g(3.1). Calc permitted b) Use the Lagrange error bound to show that Ig(3.1)-p3(3.1)I<0.0006
Show that x(t) =c1cosωt+c2sinωt, (1) x(t) =Asin (ωt+φ), (2)   and x(t) =Bcos (ωt+ψ)   (3) are all...
Show that x(t) =c1cosωt+c2sinωt, (1) x(t) =Asin (ωt+φ), (2)   and x(t) =Bcos (ωt+ψ)   (3) are all solutions of the differential equation d2x(t)dt2+ω2x(t) = 0. Show that thethree solutions are identical. (Hint: Use the trigonometric identities sin (α+β) =sinαcosβ+ cosαsinβand cos (α+β) = cosαcosβ−sinαsinβto rewriteEqs. (2) and (3) in the form of Eq. (1). To get full marks, you need to show the connection between the three sets of parameters: (c1,c2), (A,φ), and (B,ψ).) From Quantum chemistry By McQuarrie
f(x)=x^3+1 and g(x) =x^-2 find rule for function f-g
f(x)=x^3+1 and g(x) =x^-2 find rule for function f-g
If f(2) = 3, f'(2) = 5, g(2) = 1, and g'(2) = 4, find h'(x)...
If f(2) = 3, f'(2) = 5, g(2) = 1, and g'(2) = 4, find h'(x) and r'(x) if h(x) = 2(f(x))3/2 and r(x) = g(x) + p g(x), and determine the greater value between h'(2) and r'(2).
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT