منابع مشابه
Automorphisms and Isomorphisms of Real Henselian Fields
Let K and L be ordered algebraic extensions of an ordered field F. Suppose K and L are Henselian with Archimedean real closed residue class fields. Then K and L are shown to be F-isomorphic as ordered fields if they have the same value group. Analogues to this result are proved involving orderings of higher level, unordered extensions, and, when K and L are maximal valued fields, transcendental...
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The classification of a family of infinite dimensional Lie algebras is carried out, and a determination of their automorphism groups, in certain cases is supplied. Introduction. The theory of finite dimensional simple Lie algebras over algebraically closed fields of characteristic zero achieves a classification of such algebras and a description of their automorphism groups (see [4]). To these ...
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Let G be a graph and S a subset of G not ,",VLLCU,lJ.HHF-, element of The of G with respect to is a directed graph with vertex set G and for x and y in there is an arc from x to y if and only if x-1y E S. In this paper, we discuss the between the isomorphisms of D(G, S) and the automorphisms of G. The results to studying the and automorphisms of hierarchical digraphs of abelian groups. For any ...
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Suppose that Φ is a reduced irreducible root system, R is an associative commutative ring with unity, G(Φ, R) is the corresponding adjoint Chevalley group, and E(Φ, R) is its elementary subgroup (see Section 5). There are a lot of results (see, e.g., [Wat80], [Pet82], [GMi83], [HO’M89], [Abe93], [Che00], [Bun07], and references therein*) asserting that, under some conditions, all automorphisms ...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 1973
ISSN: 0004-9735
DOI: 10.1017/s1446788700013884