Document Type

Article

Publication Date

1-1-1987

Abstract

The major problem with which this paper is concerned is determining criteria that allow one to decide whether the subsemigroup generated by a subset B of a group G is all of G. Motivations for considering this problem arise from at least two sources. The first source concerns the program to develop a Lie theory of semigroups. Given a closed subsemigroup S of Lie group G, one defines the tangent object of S in the Lie algebra L(G) by L(S) = {xeL(G):exp(tx)∊S for all t≧0}. © 1987, Edinburgh Mathematical Society. All rights reserved.

Publication Source (Journal or Book title)

Proceedings of the Edinburgh Mathematical Society

First Page

479

Last Page

501

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