具有M. Hall性质的有限群的形成

IF 0.6 2区数学 Q3 MATHEMATICS Journal of Combinatorial Algebra Pub Date : 2018-03-13 DOI:10.4171/JCA/28

K. Auinger, Alexander Bors

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引用次数: 2

摘要

发现了树木状（因此是Hall）但不能自由索引（因此不能局部扩展）的地层的第一个例子。同样，构造了可解构造的第一个例子，这些可解构造是自由索引的和树状的（因此也是Hall），但不是局部可扩展的。还提到了一些悬而未决的问题。

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Formations of finite groups with the M. Hall property

The first examples of formations which are arboreous (and therefore Hall) but not freely indexed (and therefore not locally extensible) are found. Likewise, the first examples of solvable formations which are freely indexed and arboreous (and therefore Hall) but not locally extensible are constructed. Some open questions are also mentioned.

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