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Mar
5
revised Maximal Unramified Extension of $\mathbb{F}_p((t))$
deleted 157 characters in body
Feb
17
awarded  Nice Question
Jan
27
comment Abelian torsion group of rational points of an elliptic curve
The standard way of doing this is to compute $E(\mathbb{F}_p)$ for a few primes $p$ of good reduction, and to use the fact that the coprime-to-$p$ torsion of $E(\mathbb{Q})$ injects into $E(\mathbb{F}_p)$
Jan
26
comment Classifying the irreducible representations of $\mathbb{Z}/p\mathbb{Z}\rtimes \mathbb{Z}/n \mathbb{Z}$
You need to do what I labelled as Exercise 2.
Jan
25
comment Classifying the irreducible representations of $\mathbb{Z}/p\mathbb{Z}\rtimes \mathbb{Z}/n \mathbb{Z}$
@SvenWirsing: In the specific situation of the OP, they are 1- and $n$-dimensional. In the general situation of my Edit, they are $($dim $\rho\cdot \#$orbit$_H(\chi))$-dimensional. That just follows from the fact that under induction, the dimension of a representation grows by the index of the subgroup that you are inducing from.
Jan
4
awarded  Enlightened
Jan
4
awarded  Nice Answer
Dec
20
awarded  Caucus
Dec
20
awarded  Constituent
Nov
28
awarded  Enlightened
Nov
28
awarded  Nice Answer
Nov
28
comment Primes of the form $p=a^2-2b^2$.
@KCd: thanks Keith, fixed it.
Nov
28
revised Primes of the form $p=a^2-2b^2$.
Corrected, to treat the prime 2 separately
Nov
7
awarded  Yearling
Sep
2
answered Sum of degrees of irreducible complex characters for certain groups
Sep
2
comment What are major algebraic number theory attempts, results and progressions toward Goldbach's Conjecture?
See this MO question: mathoverflow.net/questions/43434/…
Jul
25
awarded  Enlightened
Jul
25
awarded  Nice Answer
Jul
4
comment Cosets/ Cyclic group
Can you name any coset at all? Can you then find an element of $G$ not in that coset?
Jul
3
comment What kind of algebraic structure is this
Consider the orbit of the unit element under scalar multiplication. That will give you a copy of the scalar field inside the field (use the fact that a field has no non-zero proper ideals). In your example, the subfield consists of scalar matrices. Conversely, whenever you have a field with a subfield, the big field is clearly an algebra under the subfield, just using multiplication in the big field.