The Schur index over the 2-adic field

On a recursive equation over a p-adic field

In the paper we completely describe the set of all solutions of a recursive equation, arising from the Bethe lattice models over p-adic numbers. Mathematics Subject Classification: 46S10, 12J12.

The group ring of SL 2 ( p 2 ) over the p - adic integers

This paper describes the ring theoretic structure of the group rings of SL 2 (p 2) over the p-adic integers.

The group ring of SL 2 ( 2 f ) over 2 - adic integers

Let R = Z 2 2 f ?1 ] and G = SL 2 (2 f). The group ring RG is calculated nearly up to Morita equivalence. In particular the irreducible RG-lattices can be described purely combinatorically in terms of subsets of f1 The group G = SL 2 (p f) of all 22-matrices over the eld k with p f elements is one of the simplest examples of a nonabelian nite group of Lie type. Its representation theory in char...

The mod 2 homology of the general linear goup of a 2-adic local field

Let F be a finite extension of Q2, of degree d. Our first main theorem gives an explicit computation of the mod two homology Hopf algebra of the infinite general linear group GLF . The answer is formulated in terms of the well-known homology algebras of the infinite unitary group U, its classifying space BU, and the classifying space BO of the infinite orthogonal group. Let P denote the subalge...

Group Rings over the p-Adic Integers