Group theory

If a is an element of a group G then (a^-1)^-1

• e

• a

• a^-1

• None of these

Every cyclic group is a

• Group

• Semigroup

• Abelian group

• None of these

If a is an element of a group G and order of G is n then

• a^n=a

• a^n=e

• a^-n=e

• a=e^n

INA group number of identity element is

• 1

• 2

• 3

• 4

In a group number of identity element is

• 1

• 2

• 3

• 4

If a is an element of a group G and order of G is n then

• a^n=a

• a^n=e

• a^-n=e

• a=e^n

The site of all real number under the usual multiplication operation is not a group since

• Multiplication is not a binary operation

• Multiplication is not associate

• Identify element does not exist

• Zero has no inverse

If jio multiplication group is a group such that ( ab)^-1= a^-1b^-1 then G is a/an

• Commutative semigroup

• Abelien group

• Non abelian group

• None of these

If g is a multiplication group is a g such that a^2=e then G

• Semigroup

• Abelian group

• Non abelian group

• None of these

The inverse of -i is the multiplication group is {1,-1,i,-i}

• 1

• -1

• i

• -i

Tags

CCSS.HSF-BF.B.4A