The supersolvablity and nilpotency of the finite group G are characterized using the concept of cover-avoiding subgroups.
利用覆盖-远离子群的概念研究了群的超可解性和幂零性。
The main purpose of this paper is to give a standard extension of Malcev algebras, and investigate the relationship on solvability and nilpotency between a Malcev algebra and its extension algebra.
给出了马尔策夫代数的一个标準扩张,并研究了马尔策夫代数及其扩张间的可解和幂零关系。
One of the important problems in the theory of finite groups is to study the effect of nilpotency on the finite groups.