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David Wheeler's user avatar
David Wheeler's user avatar
David Wheeler's user avatar
David Wheeler
  • Member for 12 years, 5 months
  • Last seen more than 5 years ago
  • Just south of Canada
32 votes
Accepted

To show number of left cosets equals number of right cosets

19 votes

Where is the name "coset" in group theory from?

16 votes

Is basis change ever useful in practical linear algebra?

14 votes

Why does the derivative of sine only work for radians?

13 votes

Intuition behind quotient groups?

12 votes
Accepted

Group Theory - Proving $(a*b)^{-1} = (a^{-1}) * (b^{-1}) $

12 votes

Why are irreducible elements non-units?

11 votes
Accepted

Why are $\sin$ and $\cos$ (and perhaps $\tan$) "more important" than their reciprocals?

11 votes
Accepted

Difference between $\mathbb{Z}/n\mathbb{Z}$ and $\mathbb{Z}_n$

10 votes

What is the quotient of a cyclic group of order $n$ by a cyclic subgroup of order $m$?

10 votes
Accepted

How do i visualize Cosets of a group

10 votes
Accepted

Quotients of Solvable Groups are Solvable

9 votes
Accepted

Why is the group $Z_6$ under addition isomorphic to the group $Z_7^*$ under multiplication?

9 votes

What is the rank of a matrix for?

9 votes
Accepted

What's so discrete about discrete topology?

9 votes

Finding the automorphisms of $S_3$ by looking at the orders of the elements

9 votes
Accepted

Smallest example of a group that is not isomorphic to a cyclic group, a direct product of cyclic groups or a semi direct product of cyclic groups.

8 votes
Accepted

Why are inner product spaces only defined on $\Bbb R$ or $\Bbb C$?

8 votes
Accepted

$\mathrm{Aut}(D_4)$ is isomorphic to $D_4$

7 votes
Accepted

Prove that group $\mathbb{Q}\times Z_2$ is not isomorphic to $\mathbb{Q}$

7 votes
Accepted

What is the purpose of finding the kernel of a matrix

7 votes
Accepted

Construction of $\Bbb R$ from $\Bbb Q$

7 votes

Finding a basis of an infinite-dimensional vector space?

7 votes

"Negative" versus "Minus"

7 votes

How do you find a multiplicative inverse in modulo arithmetic?

7 votes
Accepted

How should we understand change of the basis matrix?

7 votes

Example of Basic Theorem of field extensions

7 votes

Prove of a finite cyclic group of order $n$ is isomorphic tto $(\mathbb Z_n,+)$.

7 votes
Accepted

If H and K are two normal subgroups of a group G .If the order of H and the order of K are relatively prime.prove that hk=kh

6 votes
Accepted

Group action defines a group homomorphism and vice versa.

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