Classification of commutative formal groups over a p-adic integer ring
نویسندگان
چکیده
منابع مشابه
Uniformly Secondary Modules over Commutative Ring
In [2] the notion of “uniformly ideal” was introduced and developed the basic theory. In this article we introduce and advance a theory which, in a sense, dual to that i.e, the notion of “uniformly secondary module”.
متن کاملCoalgebras Over a Commutative Ring
By a coalgebra over the commutative ring K or a K-coalgebra, we understand a cocommutative, coassociative K-coalgebra with counit. More explicitly we mean a K-module C equipped with maps &C+C&C, subject to the requirement (where we write @ for OK) that the following diagrams commute: CLC@C where the vertical arrow is the one which switches the factors; CAC@C 1 CC38 C@C e@'CtC@C@C, where we have...
متن کاملClassification of unipotent representations of simple p-adic groups
0.1. Let K be a nonarchimedean local field with a residue field of cardinal q. Let G(K) be the group of K-rational points of a connected, adjoint simple algebraic group G defined over K which becomes split over an unramified extension of K. Let U(G(K)) be the set of isomorphism classes of unipotent representations of G(K) (see [L4, 1.21]). Let G be a simply connected almost simple algebraic gro...
متن کاملCLASSIFICATION OF UNIPOTENT REPRESENTATIONS OF SIMPLE p-ADIC GROUPS, II
Let G(K) be the group of K-rational points of a connected adjoint simple algebraic group over a nonarchimedean local field K. In this paper we classify the unipotent representations of G(K) in terms of the geometry of the Langlands dual group. This was known earlier in the special case where G(K) is an inner form of a split group.
متن کاملp-ADIC FORMAL SERIES AND PRIMITIVE POLYNOMIALS OVER FINITE FIELDS
In this paper, we investigate the Hansen-Mullen conjecture with the help of some formal series similar to the Artin-Hasse exponential series over p-adic number fields and the estimates of character sums over Galois rings. Given n we prove, for large enough q, the Hansen-Mullen conjecture that there exists a primitive polynomial f(x) = xn − a1xn−1 + · · ·+ (−1)an over Fq of degree n with the m-t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1981
ISSN: 0021-8693
DOI: 10.1016/0021-8693(81)90302-1