Solution-Briefly describe the pigeon hole principle

Briefly describe the pigeon hole principle

Reference no: EM131028494

Please help with the following problems involving group theory proofs. Provide step by step calculations along with explanations.

a) Prove that if G is a finite group and a is an element of G then for some positive m , a^m is equal to the identity of G. (Use the Pigeon hole principle)

b) Prove that if G is a finite group, H subset of G that is closed with respect to the operation of G, Then every element of H has its inverse in H.

Reference no: EM131028494

Questions Cloud

Prove that p intersect h is the unique sylow p-subgroup : Let P be in Syl_p(G) and assume N is a normal subgroup of G. 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

Characteristics of subjects measured at the beginning : Do you agree or disagree? Discuss briefly. Notes. "Baseline characteristics" are characteristics of subjects measured at the beginning of the study, i.e., just before randomization. The quote, slightly edited, is from Victora et al (2004).

What changes be made to move practice closer to compliance : Assess the practice's organization. Where is it most likely HIPAAcompliant? What changes should be made to move the practice closer to compliance?

What is the value of the degrees of freedom : What is the observed or computed value of t? What is the value of the degrees of freedom that are reported in the output? What is the reported level of significance from the T Test for Dependent Means

Briefly describe the pigeon hole principle : Prove that if G is a finite group, H subset of G that is closed with respect to the operation of G, Then every element of H has its inverse in H.

Compare the directional characteristics of the and orbitals : In what sense does a 2p orbital have directional character? Compare the "directional" characteristics of the and orbitals. (That is, in what direction or region of space is the electron density concentrated?)

Briefly describe the pigeon hole principle : Prove that if G is a finite group, H subset of G that is closed with respect to the operation of G, Then every element of H has its inverse in H.

Write an essay on data communication : Write an essay that is 4 pages long on data communication it can be on any topic as long as it is related to data communication. It should be pretty easy assignment.

Kilograms and height in meters : Doctors often use body mass index (BMI) to measure obesity. BMI is weight/height2, where weight is measured in kilograms and height in meters.

User Account

All Pages

Briefly describe the pigeon hole principle

Reference no: EM131028494

Reference no: EM131028494

Questions Cloud

Reviews

Write a Review

Algebra Questions & Answers

Prove that if p is a prime number of the form 4n + 1

Write the equation in vertex form and identify axis of

Using graphical method for solving maximization problem

Briefly explain why function f is not a one-to-one function

Write a function rule for the area of a rectangle whose

Linear equations by substitution method

Solve the given equation

Identify the vertex and four additional points on each side

How many ways are there to select a committee

Determine the dot product

Compute equations for the vertical and horizontal asymptotes

Algebra-rate of speed on bicycle

Assured A++ Grade

Academics

Major Subjects

Majors

Get In Touch

TERMS & POLICIES

HELP & SUPPORT