Many scholars have studied these respects and given many important results, for example, the Hupperts famous theorem, namely, a finite group G is supersolvable if and only if every maximal subgroup of G has prime index; a finite group G is nilpotent if and only if every maximal subgroup of G is normal in G; a finite group G is solvable if and only if every maximal subgroup of G is c-normal in G (See it in [70] etc.
很多学者都在这些方面进行了研究，得到了很多重要的结果，如：著名的Huppert定理，即有限群为超可解当且仅当它的所有极大子群的指数为素数；有限群为幂零当且仅当每个极大子群都正规；有限群为可解当且仅当它的极大子群均c-正规(见[70])；等等。
Let H be a normal subgorup of a finite group G such that G/H is nilpotent.
2假设H是有限群G的一个正规子群使得G/H是幂零群。
In [10, 13], the authors gave some conditions on which a group is nilpotent by c- normality of subgroups.
文献[10，13]利用子群的c-正规性给出了一个群是幂零一些条件。
One of the cases was showed in theorem 4.18: finite group G is solvable if and only if Sec is nilpotent for every maximal subgroup At without prime index in G.
在本文中作者将要证明：G可解当且仅当对G中的任意极大子群M，或者I中存在极大元C使C/K幂零并且其Sylow2-子群的幂零类≤2，或者Sec为2-闭。
It is proved proved that a soluble p group which satisfies the maximal condition is nilpotent and a maximal subgroup of a p with finite index is normal.
证明了满足极大条件的可解p群是幂零群；p群中具有有限指数的极大子群是正规子群；
Finite nilpotent groups with automorphism group of order 4p~2q
具有4p~2q阶自同构群的有限幂零群
In this paper, conjugate separability problem in a finitely generated nilpotent group is researched.
研究了有限生成的幂零群中元素的共轭分离问题。
We give the structure of the stable group of the Jordan's normal form of 2-nilpotent matrices under the similarity transformation. One construction of Cartesian authentication codes from 2-nilpotent matrices over a finite fields is presented and its size parameters are computed.
给出2-幂零矩阵的Jordan标准型在相似变换下的稳定群的结构，利用有限域上2-幂零矩阵构作了一个Cartesian认证码，计算出了该认证码的参数。
He authors give one sufficient condition for a - abnormal subgroup containing a - projector, and give the structure of finite group in which nilpotent coradicals of normalizers of non-unit Sylow subgroups are subnormal.
给出了F－伪正规子群包含投射子的一个充分条件，在此基础上给出了西洛子群正规化子的幂零上根在群中次正规的有限群的构造。
Suppose that H is a nilpotent Hall π subgroup of a finite group G. Then H has normal complements if and only if (1) N G (H)/C G (H) is a π group;
设H是有限群G的幂零Halπ－子群，则H存在正规补的充要条件是（1）NG（H）／CG（H）是π－群；
The author discusses the commutator subgroup P'of the normal Sylow subgroup P of a minimal non-nilpotent group and determine a set of generate elements of the commutator subgroup P'.
讨论了极小非幂零群的正规Sylow子群P的换位子群P'，确定了换位子群P'的一个生成元集。
This paper studies the nilpotent regular p-group and reaches quite good results about the sub-change of p-group.
本文研究正则p-群的幂零类，对亚交换p-群得出了较好的结果。
In this note, a characterization of the graded nilpotent radical of general group graded rings was established.
本文给出了一般群分次环的分次幂零根的一个刻划。
It is known that the product of two nilpotent subgroups of a finite group is not necessarily nilpotent. In this paper, we study the influence of the Engel condition on the product of two nilpotent subgroups. Our results generalize some well-known results.
众所周知，有限群的两个幂零子群的积不一定是幂零的.本文研究了Engel条件对两个幂零子群的影响，得到两个幂零子群的积为幂零群的几个充分条件。
It's well known that the class of nilpotent groups the class of supersoluble groups the class of groups with nilpotent derived group.
众所周知，幂零群类超可解群类导群幂零的群类。
A Note on the Number of Conjugacy Classes in a Finite Nilpotent Group
关于有限幂零群共轭类数的一个注记
The main result is the following: Suppose G is a PS group, then all the maximal subgroups of G are either nilpotent or inner nilpotent if and only if G is one of the following groups: (1) G is a Dedekind group;
主要结果为：设G是一个PS群，则G的极大子群为幂零或内幂零当且仅当G为下列群之一：（1）G是Dedekind群；
Primitiveness of Character Triples and X-Nilpotent Group
特征标三元组的本原性和X-幂零群
Simple ideal extension of a group of prime order by a finite commutative nilpotent semigroup on a tree
素数阶群按树上有限交换幂零半群的单纯理想扩张
Theorem 3.10 If G is locally nilpotent group and C-group, then G is Baer nilpotent and hypercentral group.
定理3＊若局部幂零群G是C二群，则G是Baer幂零而且是超限上中心群。