
Abelian Group Quiz

Quiz
•
Mathematics
•
University
•
Medium
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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