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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 …
Jim Humphreys's user avatar
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 …
Jim Humphreys's user avatar
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 …
Jim Humphreys's user avatar