赋值Hahn群的自同构
Automorphisms of valued Hahn groups
AI总结：
本文研究了满足特定提升性质的Hahn群的自同构结构，通过半直积分解定理和矩阵描述揭示了其自同构群的性质。
摘要：
赋值的Hahn群在有赋值阿贝尔群的分类中起着根本性的作用。在本文中，我们研究Hahn群$G$的赋值（分别顺序）保持自同构群。在假设$G$满足某些提升性质的情况下，我们证明了一个结构定理，将自同构群分解为两个显著子群的半直积。我们刻画了一类满足上述提升性质的Hahn群。对于某些特殊情形，我们提供了自同构群的矩阵描述。
英文摘要：
Hahn groups endowed with the canonical valuation play a fundamental role in the classification of valued abelian groups. In this paper we study the group of valuation (respectively order) preserving automorphisms of a Hahn group $G$. Under the assumption that $G$ satisfies some lifting property, we prove a structure theorem decomposing the automorphism group into a semidirect product of two notable subgroups. We characterise a class of Hahn groups satisfying the aforementioned lifting property. For some special cases we provide a matrix description of the automorphism group.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
