List questions from p-adic-number-theory

Published on 24 Jul 2013 - 15:25

252

Views

Is $p^n\mathbb Z_p\cong \mathbb Z_p$ as additive groups?

Published on 24 Jul 2013 - 16:23

215

Views

Is $(\mathbb Z/p^{n+1}\mathbb Z)^\times\cong (\mathbb Z/p\mathbb Z)^\times\times(\mathbb Z/p^n\mathbb Z)$?

Published on 24 Jul 2013 - 18:13

138

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Finitely generated submodule of $p$-adic module is direct summand?

Published on 25 Jul 2013 - 12:30

1k

Views

Inverse limit of $\mathbb{Z}/(n!)\mathbb{Z}$

Published on 29 Jul 2013 - 15:34

2.5k

Views

p-adic expansion of a rational number

Published on 02 Aug 2013 - 14:33

373

Views

How can every $p$-adic integer be the limit of a sequence of non-negative integers?

Published on 08 Aug 2013 - 19:52

847

Views

A non-Archimedean norm definition can be strengthened.

Published on 15 Aug 2013 - 19:04

498

Views

Are $\mathbb{Q}_p$ and $\mathbb{Q}_q$ homeomorphic?

Published on 20 Aug 2013 - 18:13

3.7k

Views

Characterization of integers which has a $2$-adic square root

Published on 22 Aug 2013 - 14:36

625

Views

On the numerators of Bernoulli numbers

Published on 27 Mar 2026 - 6:08

57

Views

Borel lemma on rationality

Published on 14 Sep 2013 - 18:04

5.6k

Views

Galois group over $p$-adic numbers

Published on 27 Mar 2026 - 8:00

163

Views

Why $\operatorname{Gal}(\mathbb{Q}_q(\zeta_p)/\mathbb{Q}_q)$ is isomorphic to $\mathbb{Z}/f\mathbb{Z}$

Published on 17 Sep 2013 - 15:57

1.3k

Views

Generators of Zp* and p-adic cyclotomic character

Published on 19 Sep 2013 - 19:03

List Question

If $\,p\,$ is prime, is $\,p^n\mathbb{Z}_p=\mathbb{Z}_p\,$ for any positive integer $n$?

Is $p^n\mathbb Z_p\cong \mathbb Z_p$ as additive groups?

Is $(\mathbb Z/p^{n+1}\mathbb Z)^\times\cong (\mathbb Z/p\mathbb Z)^\times\times(\mathbb Z/p^n\mathbb Z)$?

Finitely generated submodule of $p$-adic module is direct summand?

Inverse limit of $\mathbb{Z}/(n!)\mathbb{Z}$

p-adic expansion of a rational number

How can every $p$-adic integer be the limit of a sequence of non-negative integers?

A non-Archimedean norm definition can be strengthened.

Are $\mathbb{Q}_p$ and $\mathbb{Q}_q$ homeomorphic?

Characterization of integers which has a $2$-adic square root

On the numerators of Bernoulli numbers

Borel lemma on rationality

Galois group over $p$-adic numbers

Why $\operatorname{Gal}(\mathbb{Q}_q(\zeta_p)/\mathbb{Q}_q)$ is isomorphic to $\mathbb{Z}/f\mathbb{Z}$

Generators of Zp* and p-adic cyclotomic character

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