Purchase Solution

Sylow's Theorem

Not what you're looking for?

Ask Custom Question

Modern Algebra
Group Theory (CIX)
Sylow's Theorem

In the symmetric group of degree 4, S4 , find a 2-Sylow subgroup and a 3-Sylow subgroup.

Purchase this Solution
Solution Summary

This solution is comprised of a detailed explanation to find a 2-Sylow subgroup and a 3-Sylow subgroup.

Solution Preview

Modern Algebra
...

Solution provided by:
Thokchom Sarojkumar Sinha, MSc
Education
  • BSc, Manipur University
  • MSc, Kanpur University
Recent Feedback
  • "Thanks this really helped."
  • "Sorry for the delay, I was unable to be online during the holiday. The post is very helpful."
  • "Very nice thank you"
  • "Thank you a million!!! Would happen to understand any of the other tensor problems i have posted???"
  • "You are awesome. Thank you"
Purchase this Solution
Free BrainMass Quizzes
Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Probability Quiz

Some questions on probability

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

View More Free Quizzes
Related BrainMass Solutions

  • Sylow's theorem

    Sylow's theorem is applied in this solution.

  • Sylow's Theorem

    90970 Sylow's Theorem Group Theory Modern Algebra Group Theory (CX) Sylow's Theorem Find all 3-Sylow subgroups

  • Sylow's Theorem

    This solution provides a step-by-step explanation of how to solve the given problem involving Sylow's Theorem.

  • Sylow's Theorem Problems

    This solution explains how to solve problems related to Sylow's theorem.

  • Proof that There Are No Simple Groups of Order 56 or 148

    We know from Sylow's third theorem that the number of Sylow-2 subgroups of G is congruent to 1 modulo 2 and divides 7, whence there is are either one or seven Sylow-2 subgroups of G, We also know that the number of Sylow-7 subgroups of G is congruent

  • Subgroup proofsno

    Suppose has Sylow -subgroups, then according to the Third Sylow's Theorem, and (mod . So . Since , we must have and hence . So is the unique Sylow -subgroup of . Also from the third Sylow's Theorem, is normal in .

  • Sylow p-Subgroups, Conjugacy and Abelian Groups

    Use the conjugacy part of Sylow's theorem to prove that P intesect N is a Sylow p-subgroup of N. Deduce that PN/N is a Sylow p-subgroup of G/n Please see the attached file for the complete solution. Thanks for using BrainMass. 1.

  • Application of Sylow's Theorems

    Another one is the set of matrices of the form (1 0 0) (a 1 0) (b c 1) In this solution, we use Sylow's theorems to show that a particular subset of G = GL(3,Z_p) is a Sylow subgroup of G.

  • Connections among Green's, Stokes' and Divergence theorems

    35214 Green's, Divergence and Stokes theorems Describe in 5-15 lines the links and connections among Green's theorem in all forms, Stokes' theorem and the Divergence theorem.

View More Related Solutions