User Account

All Pages

abstract algebra, Mathematics

Assignment Help:
Let D(subscript12) = ({x,y : x^2 = e ; y^6 = e ; xy =(y^-1) x})
a) Which of the following subsets are subgroups of D(subscript12) ? Justify your answer.
i) {x,y,xy,y^2,y^3,e} ii) {xy,xy^2,y^2,e} iii) {x,y^3,xy^3,e}
b) Find the order of y^2. Is the subgroup (y^2) normal ? Justify your answer.
c) Let D(subscript2n) = ({x,y : x^2 = e ; y^n = e ; xy =(y^-1) x})
Prove the relation
{ x^i*y^(j+l) if k is even
X^i*y^j*x^k*y^l = {
{ x^(i+k)*y^(l-j) if k is odd
Further, find all the elements of order 2 in D(subscript12) .
D) Find two different Sylow 2-subgroups of D(subscript12) .

Related Discussions:- abstract algebra

Metric units, need help!

need help!

Simplified radical form, If we "break up" the root into the total of two pi...

If we "break up" the root into the total of two pieces clearly we get different answers. Simplified radical form: We will simplify radicals shortly so we have to next

upper and lower limits, A critical dimension of the service quality of a c...

A critical dimension of the service quality of a call center is the wait time of a caller to get to a sales representative. Periodically, random samples of 6 customer calls are mea

Actual implicit solution, y 2 = t 2 - 3 is the actual implicit solution t...

y 2 = t 2 - 3 is the actual implicit solution to y'= t/y, y(2) = -1. At such point I will ask that you trust me that it is actually a solution to the differential equation. You w

Find the value of the first instalment, A man arranges to pay a debt of Rs....

A man arranges to pay a debt of Rs.3600 in 40 monthly instalments which are in a AP. When 30 instalments are paid he dies leaving one third of the debt unpaid. Find the value of th

Solve for x, 3^2=8

3^2=8

Algebra, please tell me what is algebra and how i can understand it

please tell me what is algebra and how i can understand it

Solve 2 ln (x) - ln (1 - x ) = 2 single logarithm, Solve 2 ln (√x) - ln (1 ...

Solve 2 ln (√x) - ln (1 - x ) = 2 . Solution: Firstly get the two logarithms combined in a single logarithm. 2 ln (√x) - ln (x  - l) = 2 ln ((√x) 2 ) ln (1 - x ) = 2

Precalculus, Find the standard form of the equation of the parabola with a ...

Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, -7).

Statewide mortality rates, Assume that between workers exposed to asbestos ...

Assume that between workers exposed to asbestos in a shipyard in 1980, 33 died over a 10 year period from COPD, whereas only 24 such deaths would be expected based on statewide mor

Write Your Message!

Captcha
Order Assignment

Featured Services

Order Now

Popular Subjects

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +1-415-670-9521

Phone: +1-415-670-9521

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd