Abelian Group Quiz

Abelian Group Quiz

University

10 Qs

quiz-placeholder

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Abelian Group Quiz

Abelian Group Quiz

Assessment

Quiz

Mathematics

University

Medium

Created by

Subha . Nawabkhan

Used 2+ times

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

shich of the following is always true for an abelian group?

a.be

a.b-b.c

a.a-e

a.e=a²

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

An abelian group must be:

associative but not neccessary commutative

commutative and associative

only commutative

none of the above

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The group (2,+ is:

not a group

A non-abelian group

An abelian group

abelian group

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

which of the following is not an abelian group?

(R₁+

(Q₁+

(2+

(Z+

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If G is an abelian group, which of the following holds for all a,beG?

(ab)²

a²b²

ab¹b¹c

all of the above

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In an abelian group G, the inverse of a.bis

b¹a¹

a-¹b-¹

(a.b)-¹

all of the above

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

which of the following is a necessary condition for a group to abelian?

commutative

Inverse of every element exists

Associativity

Identity exists

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