Let g be a finite group which has exactly 8 sylow

Assignment Help Algebra

Reference no: EM13713327

Let G be a finite group which has exactly 8 Sylow 7-subgroups. Show that there exists a normal subgroup N of G such that the index [G:N] is divisible by 56 but not by 49 ??

Reference no: EM13713327

Questions Cloud

Invested not to allow withdrawals : An amount, P, must be invested not to allow withdrawals of $1,000 per year for the next 15 years and to permit $300 to be withdrawn starting at the end of year 6 and continuing over the remainder of the 15-year period as the $300 increases by 6% per ..

Function of gel electrophoresis in dna profiling : 1. What allows for the copying of only very specific sections of DNA from all the DNA in a sample of Human cells? 2. Why are fluorescent primers used when preparing a DNA sample for profiling? 3. What is the function of gel electrophoresis in DNA ..

Activation energy for vacancy formation in aluminum : Calculate the expected number of vacancies that will exist in a cubic inch of Aluminum at room temperature (25Â°C), provided that the activation energy for vacancy formation in Aluminum is equal to 0.75 eV/atom.

Test for homogeneity of variances : Differences in the mean alcohol contents for the three levels of quality - Test for Homogeneity of Variances

Let g be a finite group which has exactly 8 sylow : Let G be a finite group which has exactly 8 Sylow 7-subgroups. Show that there exists a normal subgroup N of G such that the index [G:N] is divisible by 56 but not by 49 ??

What is the area of the square in terms of x : 1. If the width of a rectangle is (2x+4) inches and the length is (x-3) inches, what is the area of the rectangle in terms of x?2. If the side of a square is (x+6) feet, what is the area of the square in terms of x?

Sarah meeham blends coffee for tasti-delight : 1. Soybean meal is 16% protein; cornmeal is 8% protein. How many pounds of each should be mixed together in order to get 320-lb mixture that is 14% protein? How many pounds of cornmeal should be in the mixture? 2. Sarah Meeham blends coffee fo..

How many pounds of cornmeal should be in the mixture : Soybean meal is 16% protein; cornmeal is 8% protein. How many pounds of each should be mixed together in order to get 320-lb mixture that is 14% protein? How many pounds of cornmeal should be in the mixture?

Heat transfer with the surroundings : A rigid vessel contains 10 kg of steam. The steam is initially at 10 bar and 300C. After a period of time the pressure in the vessel is reduced to 1 bar due to heat transfer with the surroundings. The surroundings are at a constant temperature of 20C..

User Account

All Pages