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Jun
4
awarded  Yearling
Dec
27
comment Consider the sequence 01110100…
Look for DeBruijn sequences or Huffman code.
Dec
23
comment Can the n-string sphere braid group embed in to the (n+1)-string sphere braid group?
Oh, I see, it is not the usual braid group, but on the sphere.
Dec
23
comment Can the n-string sphere braid group embed in to the (n+1)-string sphere braid group?
What if you add n+1 strand so that there is no interaction with the n-braid?
Dec
21
comment Interesting GRE problem
There is a root between 74 and 75.
Dec
19
comment Axiomatic characterization of the rational numbers
Smallest field containing the natural numbers.
Dec
18
comment Find the rotation axis and angle of a matrix
As a start, find the eigenvector with eigenvalue 1.
Dec
16
comment Peculiar presentation of Symmetric group of degree 10
The presentation seems garbled and the obvious fix makes it the trivial group.
Dec
16
comment Subgroups in $S_4$ are normal or not
How does the cycle structure of an element $x$ relate to the cycle structure of $axa^{-1}$?
Dec
12
comment Help in establishing the Cayley table of $\text{Gal}(L/\mathbb{Q})$
In this case, the Galois group is the direct product of the Galois groups of the factors. It is cyclic of order 6.
Dec
11
revised Find a normal extension over $\mathbb{Q}$ of degree 3
added 34 characters in body
Dec
10
answered Find a normal extension over $\mathbb{Q}$ of degree 3
Dec
10
comment Determining all intermediate fields of $X^3-3$
Subfields correspond to subgroups of the Galois group $S_3$. So you should be looking for 3 quadratic subfields, and one cubic subfield.
Dec
10
answered What is the number of real roots of the polynomial?
Dec
8
comment Finitely Generated Abelian Group
That is not correct,
Dec
4
answered Arriving at a Contradiction with the Tower Law
Dec
3
comment If a 3x3 matrix is diagonalizable and has eigenvalues 1,2 but has 2 eigenvectors with eigenvalue 2, would we…
Are the eigenvectors, with eigenvalue 2, linearly independent?
Dec
1
answered Finding the rank of subgroups of free groups?
Nov
30
answered What is the mathematical formula for Square Root?
Nov
29
comment Compact surfaces and Fundamental Groups
one possibility is a torus