A character theoretic condition characterizing nilpotent groups
A character theoretic condition characterizing nilpotent groups
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DOI：
10.1080/00927879908826480
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发表时间：
1999
影响因子：
0.7
通讯作者：
S. Gagola;M. Lewis
中科院分区：
文献类型：
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作者：
S. Gagola;M. Lewis
我们对定理111A.Tlir hrsl的证明有两个主要成分。是有限单群的有限大小。M‘l~在NNR书呆子~IUIII；i.~科学。Atio~~是T11；al？我拥有的是一把双刃剑。Ic~Clini；缺陷为零IOR：。O~IIC Prim 71，它的零性是其“~IoT T·oo Inrge”的外部自体~组氨酸基团的除数。关于这一点的11rctis~声明是F‘ropostioli 2.1 1 jelow。也使用了2%~~IVOI-PII~I.hl。如果“L；IRGC”在NC下运行，那么它就是存在的。Tio11 I？幂零群关于初等al，Elian群。？‘嗨。~irwic。这方面的陈述是Propos~rioii 2.2。
There are two main ingredients that we ilsr i~ r th~ proof of Theore111 A. Tlir hrsl. IS the~ iilssificittioti of finite simple groups. M'l~ at nnr nerd~ IUIII the cl; i.~ sific. atio~~ is t11; al? wry finit, c> sirnple grorq] li possrsses an irretlur. i\) lc~ clini.; icter of gdefect zero ior:. o~ iic prim 71 whose niultil~ licity, is divisor of the ordcr of thc outer auto~ norl~ hisin group of it'IS"~ iot t. oo Inrge". The 11rctis~ statement of this is F'ropositioli 2.1 ljelow. LVe also usr 2%~~ IVOI-PII~ of I. hl. Isaacs which gilarantPea the existe~ m< IF" l; irgc" orbits under the nc. tio11 I? nilpotent groujps on elementary al, elian groups.?'hi.~ irwisc. statement of this is Propos~ rioii 2.2.