Simple fusion systems and the Solomon 2-local groups
Simple fusion systems and the Solomon 2-local groups
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DOI：
10.1016/j.jalgebra.2005.09.024
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发表时间：
2006-02
影响因子：
0.9
通讯作者：
M. Linckelmann
中科院分区：
文献类型：
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作者：
M. Linckelmann
我们引入了简单融合系统的概念，它模仿了有限群的相应概念，并证明了Ron Solomon所考虑的特征为3的域上7维旋量群的sylow -2-子群上的融合系统。[j] .有限群与syl -2-子群的关系[j] .代数28(1974):182-198。李维，R. Oliver， Solomon和Benson研究的一类2-局部有限群的构造，Geom。Topol. 6(2002) 917-990]在这个意义上是简单的。
We introduce a notion of simple fusion systems which imitates the corresponding notion for finite groups and show that the fusion system on the Sylow-2-subgroup of a 7-dimensional spinor group over a field of characteristic 3 considered by Ron Solomon [R. Solomon, Finite groups with Sylow-2-subgroups of type 3, J. Algebra 28 (1974) 182–198] and by Ran Levi and Bob Oliver [R. Levi, R. Oliver, Construction of 2-local finite groups of a type studied by Solomon and Benson, Geom. Topol. 6 (2002) 917–990] is simple in this sense.