Advance Group Theory MCQs deal with In Action Group Exist In General Linear Group, Equivalent Relation Does Not Hold In A Group Action, In Stabilizer The X Is A, The Order Of An Element Of A Finite Group G The Order Of G, In A Congugacy Class How Many Elements In A Center Of G, In Action Group Double Coset Is, In Symmetric Group Of Degree Four Is, In Symmetric Group Of Degree Six Can We Find, Every Normal Series Of Group G Is A Refinement Of Itself, A Subnormal Subgroup Need To Be A Normal Subgroup, A Series Can Not Be Refined Further, Any Two Series Of A Group G Are Isomorphic, In Principal Series Whose Normal Group Are Exist, Composition Series Does Not Exist In Group, In Which Group The Solvability Length Oneexist, The Solvable Length Of Quaternions Group Is, The Alternating Group Less Than Four Are, The Solvability Length Of A Group And Subgroup Are, The Direct Product Of Solvable Group Is Solvable For, Every Prime Order Group Is:

# Advance Group Theory MCQs

## Every prime order group is.

A. Not Solvable

B. Solvable

C. Both A & B

D. None

**View Answer**

**B. Solvable**

## The direct product of solvable group is solvable for.

A. Finite Number

B. Infinite Number

C. Both A & B

**View Answer**

**A. Finite Number**

## The solvability length of a group and subgroup are.

A. Not same

B. Same

C. Both A & B

D. None

**View Answer**

**B. Same**

## The alternating group less than four are.

A. Solvable

B. Non-Solvable

C. Both A & B

D. None

**View Answer**

**A. Solvable**

## The solvable length of quaternions group is.

A. 3

B. 1

C. 2

D. None

**View Answer**

**C. 2**

## In which group the solvability length oneexist.

A. Abelian

B. Non-Abelian

C. Both A & B

D. None

**View Answer**

**A. Abelian**

## Composition series does not exist in group.

A. Finite Dihedral

B. Infinite Dihedral

C. Both A & B

D. None

**View Answer**

**B. Infinite Dihedral**

## In principal series whose normal group are exist.

A. Simple group

B. Maximal

C. Both A & B

D. None

**View Answer**

**B. Maximal**

## Any two series of a group G are isomorphic.

A. Composition

B. Normal

C. Both A & B

D. None

**View Answer**

**A. Composition**