1. If H is a subgroup of a group G of index 2. show that H is a normal – InterviewSolution

1.

1. If H is a subgroup of a group G of index 2. show that H is a normal subgroup of G.

Answer»

Step-by-step explanation:

here we have to take 2 seperate CASE

case 1

a€H and a€G

case 2

a doesn't belong to H and a€G

In both cases we prove H is a normal sub GROUP of G

Discussion

No Comment Found

Related InterviewSolutions

What is Rational Numbers ??Where are you Bunny ?? What happen Any Problem Bro ಠ︵ಠ
Observe the following table and find x is directly proportional
What is Rational Numbers ?Answer if ur boy ? Answer if ur Ashrith Im serious
ABCD is a parallelogram if the ratio sides 3,:2and perimeter is 120 m the find the length of the sides of the parallelogram
6. Find the area of the following polygohABCDEF where AP = 2 cm, AQ = 4 cm,AR = 6 cm, AD = 10 cm, AS = 8 cm, andBP, FQ, CR and ES are perpendiculars todiagonal AD
5y+10=4y-10 then what is the answer
*5. How do the prashastis written by Harisena and Ravikirti throw light on the history of theGuptas and Harshavardhana?
The product of two number is 27 /2 .If one number is 23/5,find the other. with solution
Evalute the expression given below for ( m = - 2 ) & ( n = 6 ) 3m³ + 2m²n + n³
Evalute the expression given below for ( m = - 2 ) & ( n = 6 )m² - n²