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15
Math.TechQA.Club
2026-04-13 18:49:50
250
Views
How to calculate the number of elements in each cycle shape of a symmetric group 5?
Published on
13 Apr 2026 - 18:49
#abstract-algebra
2.1k
Views
Is $R[x]$ never a field?
Published on
10 Apr 2026 - 16:21
#abstract-algebra
#ring-theory
#field-theory
82
Views
Given a field $K$, for which separable $\alpha,\beta$ do we have $[K(\alpha,\beta):K]=[K(\alpha):K]\cdot [K(\beta):K]$?
Published on
14 Apr 2026 - 17:32
#abstract-algebra
#field-theory
#extension-field
285
Views
$Gcd(f,g)\neq 1$ implies that $f$ and $g$ have a common root in some extension of the base field
Published on
17 Apr 2026 - 11:12
#abstract-algebra
#field-theory
152
Views
Prove if $[G:\mathbb{Q}] =2$, then $G = \mathbb{Q}(\sqrt{d}), d\in \mathbb{Z}$
Published on
16 Apr 2026 - 3:33
#abstract-algebra
35
Views
Greatest Common Divisors of powers - 1?
Published on
10 Apr 2026 - 5:21
#abstract-algebra
#integers
#gcd-and-lcm
753
Views
Two skew symmetric matrices of same rank are congruent.
Published on
03 May 2026 - 16:34
#linear-algebra
#abstract-algebra
#matrices
#linear-transformations
#skew-symmetric-matrices
620
Views
Why can any primary decomposition be reduced to a minimal one
Published on
16 Apr 2026 - 10:10
#abstract-algebra
#commutative-algebra
1.5k
Views
$P(X)$ with symmetric difference as addition as a vector space over $\mathbb{Z}_2$
Published on
14 Apr 2026 - 15:05
#abstract-algebra
#vector-spaces
791
Views
Is there a good example of a subgroup of an infinitely generated abelian group that is not isomorphic to a quotient of that group?
Published on
17 Apr 2026 - 14:33
#abstract-algebra
#group-theory
#abelian-groups
#infinite-groups
45
Views
Show if a and b are congruent to x mod 4 and y mod 4...
Published on
15 Apr 2026 - 18:28
#abstract-algebra
#relations
#congruences
35
Views
Finding quotient of $7/5^3=Exp(2\pi i 7/5^3)\in Z(5^{\infty})$ by $20$ or 20-th root
Published on
17 Apr 2026 - 4:46
#abstract-algebra
#group-theory
1.1k
Views
find an element of order p in GL2(Zp)
Published on
17 Apr 2026 - 22:18
#abstract-algebra
#group-theory
#number-theory
61
Views
suppose $a(x)$ and $b(x)$ have degree smaller than $n$. If $a(c)=b(c)$ for $n$ values of $c$, prove $a(x)=b(x)$
Published on
16 Apr 2026 - 2:32
#abstract-algebra
#polynomials
#roots
2.3k
Views
Why do people study algebraic extension?
Published on
10 Apr 2026 - 16:06
#abstract-algebra
#field-theory
#extension-field
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