完善无电子PAC字段的措施
Measures on perfect e-free PAC fields
摘要：
我们构造了$e$ -free完备PAC域上可定义集上的测度，以及构造了绝对伽罗瓦群为有限秩自由亲$p$的完备PAC域上的测度.我们推出的可定义的顺从性的所有群体定义在这样的领域。作为推论，我们还证明了在完全无$ω$的PAC域中，所有可定义群的可定义顺从性。
英文摘要：
We construct measures on definable sets in $e$-free perfect PAC fields, as well as on perfect PAC fields whose absolute Galois groups are free pro-$p$ of finite rank. We deduce the definable amenability of all groups definable in such fields. As a corollary, we additionally prove the definable amenability of all groups definable in perfect $ω$-free PAC fields via ultralimit measures.
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。
