A remark on unipotent groups of characteristic $p>0$
نویسندگان
چکیده
منابع مشابه
Component Groups of Unipotent Centralizers in Good Characteristic
Let G be a connected, reductive group over an algebraically closed field of good characteristic. For u ∈ G unipotent, we describe the conjugacy classes in the component group A(u) of the centralizer of u. Our results extend work of the second author done for simple, adjoint G over the complex numbers. When G is simple and adjoint, the previous work of the second author makes our description com...
متن کاملON THE CHARACTERISTIC DEGREE OF FINITE GROUPS
In this article we introduce and study the concept of characteristic degree of a subgroup in a finite group. We define the characteristic degree of a subgroup H in a finite group G as the ratio of the number of all pairs (h,α) ∈ H×Aut(G) such that h^α∈H, by the order of H × Aut(G), where Aut(G) is the automorphisms group of G. This quantity measures the probability that H can be characteristic ...
متن کاملA Remark on Critical Groups
Problem 24 of Hanna Neumann's book [3] reads: Does there exist, for a given integer n > 0, a Cross variety that is generated by its ^-generator groups and contains (&+w)-generator critical groups? In such a variety, is every critical group that needs more than k generators a factor of a kgenerator critical group, or at least of the free group of rank A? I n a recent paper [1], R. G. Burns point...
متن کاملHeisenberg Idempotents on Unipotent Groups
Let G be a possibly disconnected algebraic group over an algebraically closed field k of characteristic p > 0, such that its neutral connected component, H = G0, is a unipotent group. We recall that an algebraic group over k is defined to be a smooth group scheme of finite type over k. Let us fix a prime number l 6= p. If X is a k-scheme, we use D(X) to denote the bounded derived category of Ql...
متن کاملOn Automorphisms of Arithmetic Subgroups of Unipotent Groups in Positive Characteristic
1.1. Definition. It is traditional to say that a group Γ virtually has a property if some finite-index subgroup of Γ has the property. It is convenient to extend this terminology to group isomorphisms. • A virtual isomorphism from G1 to G2 is an isomorphism Λ: G ′ 1 → G ′ 2, where G ′ i is a finite-index, open subgroup of Gi. • A virtual automorphism of G is a virtual isomorphism from G to G. •...
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: Kodai Mathematical Journal
سال: 1971
ISSN: 0386-5991
DOI: 10.2996/kmj/1138846313