Abstract algebra (mid -2)

Abstract algebra (mid -2)

University

8 Qs

quiz-placeholder

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Abstract algebra (mid -2)

Abstract algebra (mid -2)

Assessment

Quiz

Others

University

Practice Problem

Hard

Created by

Aruna Sadasivuni

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8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

H and K are two subgroups of a group (G, .), then which of the following is a subgroup of G.

H intersection K

H union K

Both 1 &2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In any group G, the number of identity elements is

2

1

0

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Let H is a subgroup of G, then the identity of H is........

Same as that of G.

Not the identity in G

Not in G

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If H is a subgroup of a group G, then for any a, b in G, Ha=HB implies

a=b

ab`€H

a'b€H

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The number of generators of an infinite cyclic group is......

2

5

Infinite

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

To define the quotient group G/N of a group G thenN must be ....

Abelian Subgroup

Subgroup

Normal Subgroup

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If p, q are any two elemts of a group G, then the equations px=q and yp=q have in G....

No solution

Unique solution

Many solutions

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The number of right cosets of any Subgroup of a finite group G is ..........the number of left cosets

Greater than

Equal to

Less than