Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. let f be an irreducible polynomial of degree n ove

Let f be an irreducible polynomial of degree n over K, and let Σ be the...

80.2K

Verified Solution

Question

Advance Math

Let f be an irreducible polynomial of degree n over K,and let Σ be the splitting field for f over K. Show that[Σ : K] divides n!.

Answer & Explanation Solved by verified expert
3.5 Ratings (383 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: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Biology
1.2K views

Compare and contrast the roles of GNRH, LH, FSH and steroid hormones in the regulation of...

Chemistry
1.2K views

If the Ksp of PbI2 is 7.1 X 10-9, will precipitation occur when 10 mL of...

Geometry
1.2K views

The letter or number on each side indicates the side's measure and the letter or...

Calculus
1.2K views

5 4 3 2 1 3 2 1 2 3 ZA 2 3 4 5...

Accounting
1.2K views

How to prepare Schedule D and Form 8949 based on the data provided below. Please...

Accounting
1.2K views

9 (5 points) How does the IRS define a qualifying relative for 2022? Question 9...

Accounting
1.2K views

Related to Checkpoint 9.2)(Yield to maturity)Abner Corporation's bonds mature in 16 years and pay 7...

Accounting
1.2K views

Jay Patel is planning to open a pizza restraunt next month in Flora, Alabama. He...

Accounting
1.2K views

Oahu Kiki tracks the number of units purchased and sold throughout each accounting period but...

Accounting
1.2K views

what have been done so far ...

Finance
1.2K views

he most recent financial statements for Scott, Inc., appear below. Sales for 2020 are projected...

Finance
1.2K views

please show excel formulas to match problem A five-year project has an initial fixed...