Skip to main content

All Questions

Filter by
Sorted by
Tagged with
1 vote
1 answer
89 views

Compact subgroups of a linear group over non-Archimedean local field

$\DeclareMathOperator\GL{GL}$Let $\mathbb{F}$ be a non-Archimedean local field. Let $\mathcal{O}$ be its ring of integers. Is it true that any compact subgroup of $\GL_n(\mathbb{F})$ is conjugated to ...
asv's user avatar
  • 21.8k
2 votes
0 answers
109 views

What does equality modulo $p$ of $p$-adic linear groups imply?

$\newcommand{\GL}{\mathrm{GL}}\newcommand{\dbZ}{\mathbb{Z}}\newcommand{\dbF}{\mathbb{F}}\newcommand{\dbN}{\mathbb{N}}$ Hello. I have a small question regarding closed subgroup of $\GL_n(\dbZ_p)$, ...
kneidell's user avatar
  • 993