# Tag Info

Accepted

### On the Artin-Rees Lemma for non-commutative rings

There is some discussion of this in Rowen's "Ring Theory", volume I, Section 3.5, with additional references therein. Exercise 19 on p. 462 in op. cit. states that a polycentral ideal $I$ of ...
• 2,624

### What is the quotient group $D^*/{F^*(1+P_D)}$ for a quaternion division algebra $D$ over a local field $F$?

To give an alternative answer, let us first recall the article "Construction of Locally Compact Near-Fields from $p$-Adic Division Algebras" by Detlef Groger: Fix a prime element $\pi_F$ of ...
• 123
Accepted

### What is the quotient group $D^*/{F^*(1+P_D)}$ for a quaternion division algebra $D$ over a local field $F$?

• 4,129
The main theorem of section 2.9 of Bernstein, Zelevinsky "Induced representations of reductive $p$-adic groups - I" gives a criterion for the existence of a non-zero intertwining operator ...