arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1808.06121math.LO
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随机图的随机自同构的结构

The structure of random automorphisms of the random graph

Udayan B. Darji, Márton Elekes, Kende Kalina, Viktor Kiss, Zoltán Vidnyánszky

摘要:

本文给出了随机图的自同构群关于Christensen的Haar零理想的共轭类的大小的完整描述。证明了每个非Haar空类都包含每个紧集的非空部分的平移拷贝,并且存在连续统的许多非Haar空共轭类.我们的方法也给出了一个新的证明的旧结果的桁架。

英文摘要:

We give a complete description of the size of the conjugacy classes of the automorphism group of the random graph with respect to Christensen's Haar null ideal. It is shown that every non-Haar null class contains a translated copy of a nonempty portion of every compact set and that there are continuum many non-Haar null conjugacy classes. Our methods also yield a new proof of an old result of Truss.

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。

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