Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. let g be a group acting on a set s, and let h be a

Let G be a group acting on a set S, and let H be a...

80.2K

Verified Solution

Question

Advance Math

Let G be a group acting on a set S, and let H be a group actingon a set T. The product group G × H acts on the disjoint union S ∪T as follows. For all g ∈ G, h ∈ H,

s ∈ S and t ∈ T,

(g, h) · s = g · s, (g, h) · t = h · t.

(a) Consider the groups G = C4, H = C5,each acting as usual. Calculate the cyclic polynomialZC4×C5 .

(b) Explain why in general ZG×H =ZGZH.

Answer & Explanation Solved by verified expert
3.7 Ratings (549 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

2 Reflect the shape over the line y x Plot the image and label the...

Geometry
Q

Kim Walrath has a nutritional deficiency and is told to take at least 2400 mg of​...

Advance Math
Q

Do all cultures have the same gender definitions/roles? What are some differences? Our text opens up...

Psychology
Q

What is one of the dimensions of The Institute for Healthcare Improvement's (IHI) Triple Aim?A....

Biology
Q

Which is the best answer below to what would affect the enzymatic activity of an...

Biology
Q

41 A ball collides at B with velocity 10 m s at 30 with vertical...

Physics
Q

Find each angle in the rhombus m 1 m 2 m 3 54 23

Geometry
Q

An office copier has an initial price of 2 200 A service contract costs 300...

Basic Math
Q

24 109 4 3x 2

Algebra
Q

Accounting changes detract from which one of the following...

Accounting
Q

Sheridan Corp. sponsors a defined benefit pension plan for its employees. On January 1,2025, the...

Accounting
Q

Exercise 6-16(Algo) Lower of cost or market LO P2 Martinez Company's ending inventory includes...

Accounting