Question

Is this a group? Is it also abelian? 1. ({0},·)

Is this a group? Is it also abelian?

1. ({0},·)

Homework Answers

Answer #1

Group Theory.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let H <| G. If H is abelian and G/H is also abelian, prove or disprove...
Let H <| G. If H is abelian and G/H is also abelian, prove or disprove that G is abelian.
Abstract Algebra (Modern Algebra) Prove that every subgroup of an abelian group is abelian.
Abstract Algebra (Modern Algebra) Prove that every subgroup of an abelian group is abelian.
: (a) Let p be a prime, and let G be a finite Abelian group. Show...
: (a) Let p be a prime, and let G be a finite Abelian group. Show that Gp = {x ∈ G | |x| is a power of p} is a subgroup of G. (For the identity, remember that 1 = p 0 is a power of p.) (b) Let p1, . . . , pn be pair-wise distinct primes, and let G be an Abelian group. Show that Gp1 , . . . , Gpn form direct sum in...
Show that a group of order 5 is abelian.
Show that a group of order 5 is abelian.
Prove that any group of order 9 is abelian.
Prove that any group of order 9 is abelian.
is it cyclic? Consider the abelian group (Z,∗) under the operation a ∗ b = a...
is it cyclic? Consider the abelian group (Z,∗) under the operation a ∗ b = a + b − 1 for all a, b ∈ Z.
Prove that if G is a group with |G|≤5 then G is abelian.
Prove that if G is a group with |G|≤5 then G is abelian.
Let G be an Abelian group and H a subgroup of G. Prove that G/H is...
Let G be an Abelian group and H a subgroup of G. Prove that G/H is Abelian.
LetG be a group (not necessarily an Abelian group) of order 425. Prove that G must...
LetG be a group (not necessarily an Abelian group) of order 425. Prove that G must have an element of order 5.
Let G be an abelian group and S ≤ G. Show that S ⊲ G and...
Let G be an abelian group and S ≤ G. Show that S ⊲ G and that G/S is abelian I need an explanation with some details