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14
votes
What is the difference between p-adic Lie groups and linear algebraic groups over p-adic fie...
The development of both Lie groups and linear algebraic groups is rather complicated, starting with the definitions over various fields. For example, working over $\mathbb{Q}_p$ or a finite extension …
11
votes
2
answers
826
views
Upper bound on order of finite subgroups of GL_n(Z_p)?
Fix a prime $p$ and integer $n>1$, along with the ring $R$ of integers in a finite extension of the field $\mathbb{Q}_p$ (for example $R = \mathbb{Z}_p$).
Is there an upper bound $C(n,p)$ on the …
8
votes
Accepted
The Weyl group of $SL(2, F)$
Two people (so far) have tried to provide some sensible information, but I think the question itself is too loosely formulated to have a real answer. What you are looking at is the group of rational …