Free products and wild nearfields à la B. H. Neumann and Hans Zassenhaus

Theo Grundh?fer

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Free products and wild nearfields à la B. H. Neumann and Hans Zassenhaus

机译：B. H. Neumann和Hans Zassenhaus的免费产品和野生近场

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The modular group PSL_2 Z contains many subgroups that are sharply transitive on the rational projective line Q {∞} If the field E is a purely transcendental extension of transcendency degree jEj, then PSL_2 E contains free subgroups that are sharply transitive on the projective line E {∞} This yields wild infinite nearfields and sharply two-transitive permutation groups.

机译：模群PSL_2 Z包含许多在有理投影线Q {∞}上具有明显传递性的子组，如果场E是超越度jEj的纯先验扩展，则PSL_2 E包含在投影线E上具有显着传递性的自由子组{∞}这产生了野生的无限近场和尖锐的两个传递置换群。

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《Forum mathematicum》 |2014年第6期|共13页
作者
Theo Grundh?fer;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Nearfield; free product; free group; modular group;

机译：近场;免费产品;免费组;模块化组;

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Free products and wild nearfields à la B. H. Neumann and Hans Zassenhaus

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