Nilpotent groups and unipotent algebraic groups
نویسندگان
چکیده
منابع مشابه
Computing in Unipotent and Reductive Algebraic Groups
The unipotent groups are an important class of algebraic groups. We show that techniques used to compute with finitely generated nilpotent groups carry over to unipotent groups. We concentrate particularly on the maximal unipotent subgroup of a split reductive group and show how this improves computation in the reductive group itself.
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متن کاملNilpotent Groups
The articles [2], [3], [4], [6], [7], [5], [8], [9], [10], and [1] provide the notation and terminology for this paper. For simplicity, we use the following convention: x is a set, G is a group, A, B, H, H1, H2 are subgroups of G, a, b, c are elements of G, F is a finite sequence of elements of the carrier of G, and i, j are elements of N. One can prove the following propositions: (1) ab = a · ...
متن کاملOn Mordell-Lang in Algebraic Groups of Unipotent Rank 1
In the previous ICERM workshop, Tom Scanlon raised the question of whether the (classical, i.e., non-dynamic) Mordell-Lang conjecture remains true in algebraic groups of unipotent rank 1 (with additional hypotheses on the closed subvariety X ). I will discuss some initial work in progress on this question, focusing on the Lang exceptional set of X . Conventions and Basic Definitions For this ta...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1985
ISSN: 0022-4049
DOI: 10.1016/0022-4049(85)90103-3