Ordinary Grothendieck Groups of a Frobenius P-Category

Category of $H$-groups

‎This paper develops a basic theory of $H$-groups‎. ‎We‎ ‎introduce a special quotient of $H$-groups and‎ ‎extend some algebraic constructions of topological groups to the category‎ ‎of H-groups and H-maps and then present a functor from this category to the category of quasitopological groups‎.

Newton Polygons and P-divisible Groups: a Conjecture by Grothendieck

Nearly Rational Frobenius Groups

In this paper, we study the structure of nite Frobenius groups whose non-rational or non-real irreducible characters are linear.

The Roquette category of finite p-groups

Let p be a prime number. This paper introduces the Roquette category Rp of finite p-groups, which is an additive tensor category containing all finite p-groups among its objects. In Rp, every finite p-group P admits a canonical direct summand ∂P , called the edge of P . Moreover P splits uniquely as a direct sum of edges of Roquette p-groups, and the tensor structure of Rp can be described in t...

Interpolating coefficient systems and p-ordinary cohomology of arithmetic groups

We present an approach to Hida’s theory of p-adically interpolating the ordinary cohomology of arithmetic groups and we discuss some application of this approach to special values of L-functions. Mathematics Subject Classification (2010). 11F75, 11F33, 11F67.