Q. An element a in a monoid is called an idempotent if ______________

View solution

Q. A trivial subgroup consists of ___________

View solution

Q. Minimum subgroup of a group is called _____________

View solution

Q. Let K be a group with 8 elements. Let H be a subgroup of K and H<K. It is known that the size of H is at least 3. The size of H is __________

View solution

Q. __________ is not necessarily a property of a Group.

View solution

Q. A group of rational numbers is an example of __________

View solution

Q. Intersection of subgroups is a ___________

View solution

Q. The group of matrices with determinant _________ is a subgroup of the group of invertible matrices under multiplication.

View solution

Q. What is a circle group?

View solution

Q. A normal subgroup is ____________

View solution

Q. Two groups are isomorphic if and only if __________ is existed between them.

View solution

Q. a * H is a set of _____ coset.

View solution

Q. a * H = H * a relation holds if __________

View solution

Q. Lagrange’s theorem specifies __________

View solution

Q. A function is defined by f(x)=2x and f(x + y) = f(x) + f(y) is called _____________

View solution

Q. An isomorphism of a group onto itself is called ____________

View solution

Q. The elements of a vector space form a/an ____________ under vector addition.

View solution

Q. A set of representatives of all the cosets is called _________

View solution

Q. How many different non-isomorphic Abelian groups of order 8 are there?

View solution

Q. Consider the set B* of all strings over the alphabet set B = {0, 1} with the concatenation operator for strings ________

View solution