منابع مشابه
On Uniform Exponential Growth for Solvable Groups
We discuss free subsemigroups in solvable and elementary amenable groups improving earlier results of Milnor-Wolf, Rosenblatt, Alperin and Osin about uniform exponential growth for these groups.
متن کاملNote on the cortex of some exponential Lie groups
In this paper, we built a family of 4d-dimensional two-step nilpotent Lie algebras (gd)d≥2 so that the cortex of the dual of each gd is a projective algebraic set. We also give a complete description of the cortex of the exponential connected and simply connected Lie group G = R o R.
متن کاملThe Exponential Map and Differential Equations on Real Lie Groups
Let G be a connected Lie group with Lie algebra g , expG : g −→ G the exponential map and E(G) its range. E(G) will denote the set of all n -fold products of elements of E(G). G is called exponential if E(G) = E(G) = G . Since most real (or complex) connected Lie groups are not exponential, it is of interest to know that the weaker conclusion E(G) = G is always true (Theorem 5.6). This result w...
متن کاملOn the Exponential Map of Almost Simple Real Algebraic Groups
One of the basic problems for Lie groups is to describe the image of the exponential map. A Lie group H is called exponential resp. weakly exponential if its exponential map is surjective resp. has dense image in H . In this paper we classify all exponential groups which are identity components of almost simple real algebraic groups. The weakly exponential groups of this type were determined in...
متن کاملExponential Sums, Ree Groups and Suzuki Groups: Conjectures
ISSN: 1058-6458 (Print) 1944-950X (Online) Journal homepage: http://www.tandfonline.com/loi/uexm20 Exponential Sums, Ree Groups and Suzuki Groups: Conjectures Nicholas M. Katz To cite this article: Nicholas M. Katz (2017): Exponential Sums, Ree Groups and Suzuki Groups: Conjectures, Experimental Mathematics, DOI: 10.1080/10586458.2017.1334246 To link to this article: http://dx.doi.org/10.1080/1...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1994
ISSN: 0022-4049
DOI: 10.1016/0022-4049(94)90110-4