User gualterio

1 vote

0 answers

115 views

Multiplicativity of Euler–Poincaré characteristics of cohomology of pro-$p$ groups

asked Apr 26, 2023 at 16:29

4 votes

1 answer

220 views

Classifying indecomposable modules over $\mathbb{Z}/p^{2}\mathbb{Z}[\mathbb{Z}/p\mathbb{Z}]$

asked Jan 8, 2023 at 15:22

3 votes

0 answers

90 views

Study of relative class number of 'non-abelian' CM field by using L-functions

asked Jun 13, 2021 at 14:41

1 vote

0 answers

339 views

Is there a roadmap to learning representation theory of finite group over finite field?

asked May 11, 2021 at 6:47

3 votes

2 answers

376 views

Is there any simple formula for the character of $S_{n}$ represented by the set of $k$-tuples of $\{1,2,...,n\}$?

asked Apr 13, 2021 at 16:32

4 votes

1 answer

299 views

What is the $p$-regular partition corresponding to the sign representation of $S_{n}$ over a field of characteristic $p$?

asked Apr 2, 2021 at 17:25

3 votes

0 answers

110 views

Reference for the Netto's theorem on the permutation groups which was mentioned in the paper of Frobenius

asked Mar 9, 2021 at 15:33

0 votes

0 answers

164 views

Request for a modern Reference for Frobenius' paper "Über die Charaktere der mehrfach transitiven Gruppen"

asked Feb 1, 2021 at 9:34

15 votes

6 answers

2k views

Any shortcuts to understanding the properties of the Riemannian manifolds which are used in the books on algebraic topology

asked Jan 6, 2021 at 6:44

1 vote

0 answers

211 views

Is there any research on the action of a subgroup on the whole finite group by conjugation?

asked Dec 26, 2020 at 10:30

3 votes

3 answers

772 views

Using Axiom of Replacement to construct the set of sets that are indexed by a set

asked Dec 19, 2020 at 12:05

1 vote

0 answers

89 views

Is there any English reference for the paper 'Darstellungstheorie von Schur-Algebren' written by Fredrich Roesler?

asked Dec 12, 2020 at 9:15

8 votes

2 answers

525 views

A very elementary question on the definition of sheaf on a site

asked Nov 30, 2020 at 13:13

4 votes

1 answer

492 views

I want to know the name of or any references for a matrix in the book "The representation theory of the symmetric groups" by Gordon James

asked Oct 7, 2020 at 6:24

3 votes

0 answers

80 views

I have a question on the definition of 'good' primes in the paper of Cohen and Martinet

asked Sep 3, 2020 at 10:16

2 votes

0 answers

96 views

Is there any good reference on the Bayesian view that can be helpful for reading papers on the number theory using heuristic arguments?

asked Jul 2, 2020 at 14:19

3 votes

1 answer

186 views

English reference for the Brauer-Kuroda formula

asked May 14, 2020 at 15:35

5 votes

0 answers

326 views

Modern reference for Andre Weil's 'Sur les courbes algébriques et les variétés qui s'en déduisent'

asked Mar 23, 2020 at 3:13

1 vote

1 answer

141 views

Valuation theory on semisimple algebras used in the paper of Cohen-Martinet: reference request

asked Nov 13, 2019 at 7:08

3 votes

1 answer

218 views

How can we justify the use of Example 5,4 (of Cohen, Lenstra) assuming their heuristics

asked Sep 16, 2019 at 2:21

8 votes

0 answers

263 views

A diagram in the proof of Theorem 2.5.5 of 'Cohomology of Number Fields' and the Tate Spectral Sequence

asked Sep 4, 2019 at 10:21

1 vote

0 answers

62 views

The completion of a ray class field

asked Sep 4, 2019 at 9:12

0 votes

1 answer

257 views

If two monic polynomials of $\mathbb{Z}_p[X]$ (p-adic integer coefficient) are relatively prime modulo p, then do they generate $\mathbb{Z}_p[X]$?

asked Aug 1, 2019 at 4:20

2 votes

1 answer

669 views

Motivation to study the order theory (ring theory)

asked Jul 22, 2019 at 8:48

1 vote

0 answers

179 views

The Iwasawa $\lambda$-invariant of the cyclotomic $\mathbb{Z}_3$-extension of $\mathbb{Q}(\sqrt{-3})$

asked Jan 16, 2019 at 7:45

3 votes

0 answers

152 views

I want a elaboration of the sketch of proof given in the Serre's Galois Cohomology on the existence of the dualizing module

asked Dec 5, 2018 at 2:44

1 vote

1 answer

190 views

references on group representation over local fields / a question on an argument of a Ralph Greenberg's paper

asked Aug 13, 2018 at 5:01

2 votes

1 answer

352 views

A question on a proof in the Ralph Greenberg's paper "On a Certain l-Adic Representation"

asked Jul 2, 2018 at 0:54

3 votes

0 answers

244 views

The closed subgroup of the idele corresponding to the maximal elementary $p$-extension of a global field

asked Jun 16, 2018 at 19:25

4 votes

1 answer

487 views

Elementary proof that a central simple algebra over a field having a maximal subfield is a cyclic algebra

asked Jun 14, 2018 at 8:31

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31 Questions

Multiplicativity of Euler–Poincaré characteristics of cohomology of pro-$p$ groups

Classifying indecomposable modules over $\mathbb{Z}/p^{2}\mathbb{Z}[\mathbb{Z}/p\mathbb{Z}]$

Study of relative class number of 'non-abelian' CM field by using L-functions

Is there a roadmap to learning representation theory of finite group over finite field?

Is there any simple formula for the character of $S_{n}$ represented by the set of $k$-tuples of $\{1,2,...,n\}$?

What is the $p$-regular partition corresponding to the sign representation of $S_{n}$ over a field of characteristic $p$?

Reference for the Netto's theorem on the permutation groups which was mentioned in the paper of Frobenius

Request for a modern Reference for Frobenius' paper "Über die Charaktere der mehrfach transitiven Gruppen"

Any shortcuts to understanding the properties of the Riemannian manifolds which are used in the books on algebraic topology

Is there any research on the action of a subgroup on the whole finite group by conjugation?

Using Axiom of Replacement to construct the set of sets that are indexed by a set

Is there any English reference for the paper 'Darstellungstheorie von Schur-Algebren' written by Fredrich Roesler?

A very elementary question on the definition of sheaf on a site

I want to know the name of or any references for a matrix in the book "The representation theory of the symmetric groups" by Gordon James

I have a question on the definition of 'good' primes in the paper of Cohen and Martinet

Is there any good reference on the Bayesian view that can be helpful for reading papers on the number theory using heuristic arguments?

English reference for the Brauer-Kuroda formula

Modern reference for Andre Weil's 'Sur les courbes algébriques et les variétés qui s'en déduisent'

Valuation theory on semisimple algebras used in the paper of Cohen-Martinet: reference request

How can we justify the use of Example 5,4 (of Cohen, Lenstra) assuming their heuristics

A diagram in the proof of Theorem 2.5.5 of 'Cohomology of Number Fields' and the Tate Spectral Sequence

The completion of a ray class field

If two monic polynomials of $\mathbb{Z}_p[X]$ (p-adic integer coefficient) are relatively prime modulo p, then do they generate $\mathbb{Z}_p[X]$?

Motivation to study the order theory (ring theory)

The Iwasawa $\lambda$-invariant of the cyclotomic $\mathbb{Z}_3$-extension of $\mathbb{Q}(\sqrt{-3})$

I want a elaboration of the sketch of proof given in the Serre's Galois Cohomology on the existence of the dualizing module

references on group representation over local fields / a question on an argument of a Ralph Greenberg's paper

A question on a proof in the Ralph Greenberg's paper "On a Certain l-Adic Representation"

The closed subgroup of the idele corresponding to the maximal elementary $p$-extension of a global field

Elementary proof that a central simple algebra over a field having a maximal subfield is a cyclic algebra