Finite groups with quasi-dihedral and wreathed Sylow 2-subgroups.
Finite groups with quasi-dihedral and wreathed Sylow 2-subgroups.
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DOI：
10.1090/s0002-9947-1970-0284499-5
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发表时间：
1970
影响因子：
1.3
通讯作者：
J. Alperin;R. Brauer;D. Gorenstein
中科院分区：
文献类型：
--
作者：
J. Alperin;R. Brauer;D. Gorenstein
本文的主要目的是给出所有具有拟二面体Sylow 2-子群的有限单群的完全分类。我们将证明任何这样的群必须同构于群L3（q）（q= - \（mod 4））、U3（q）（q=\（mod 4））或Mu中的一个。我们还将进行一个主要部分的相应分类的简单群体与西洛2-子群同构的花环产品的Z2 n和Z2，n g：2。
The primary purpose of this paper is to give a complete classification of all finite simple groups with quasi-dihedral Sylow 2-subgroups. We shall prove that any such group must be isomorphic to one of the groups L3(q) with q= — \ (mod 4), U3(q) with q=\ (mod 4), or Mu. We shall also carry out a major portion of the corresponding classification of simple groups with Sylow 2-subgroups isomorphic to the wreath product of Z2n and Z2, n g: 2.