On sylowizers in finite groups proposed by Wolfgang Gaschütz
On sylowizers in finite groups proposed by Wolfgang Gaschütz
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DOI：
10.1007/s00013-020-01553-1
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发表时间：
2020-11
影响因子：
0.6
通讯作者：
Xiang Li;Jia Zhang
中科院分区：
文献类型：
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作者：
Xiang Li;Jia Zhang
本文主要研究Gaschütz（Math Z 122（4）：319-320，1971）引入的sylowizer的共轭性，并通过分析p-子群的sylowizer与sylowizer的交来研究有限群的p-超可解性.作为研究的继续（Lei和Li in Arch Math（巴塞尔）114：367-376，2020），我们还利用ap-子群的sylowizer的可置换性给出了p-幂零群的一些刻画.
In this paper, we mainly investigate the conjugation of the sylowizer that was introduced by Gaschütz (Math Z 122(4):319–320, 1971) and study thep-supersolvability of finite groups by analyzing the intersection betweenand sylowizers ofp-subgroups. As a continuation of research (Lei and Li in Arch Math (Basel) 114:367–376, 2020), we also give some characterizations onp-nilpotent groups by using the permutability of a sylowizer of ap-subgroup.