منابع مشابه
A Family of Dominant Fitting Classes of Finite Soluble Groups
In this paper a large family of dominant Fitting classes of finite soluble groups and the description of the corresponding injectors are obtained. Classical constructions of nilpotent and Lockett injectors as well as p-nilpotent injectors arise as particular cases. 1994 Mathematics subject classification (Amer. Math. Soc.): primary 20D10.
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Examples of Fitting classes generated by certain periodic infinite groups are presented in this paper. The groups in question are finite extensions of direct products of quasi-cyclic (Priifer) groups and are, in particular, Cernikov groups. The methods applied follow closely those used for constructing Fitting classes of finite groups, especially in the case of nilpotent length three. 1991 Math...
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A group G has Černikov classes of conjugate subgroups if the quotient group G/ coreG(NG(H)) is a Černikov group for each subgroup H of G. An anti-CC-group G is a group in which each nonfinitely generated subgroup K has the quotient group G/ coreG(NG(K)) which is a Černikov group. Analogously, a groupG has polycyclic-by-finite classes of conjugate subgroups if the quotient group G/coreG(NG(H)) i...
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Let $G$ be a non-abelian group and let $Gamma(G)$ be the non-commuting graph of $G$. In this paper we define an equivalence relation $sim$ on the set of $V(Gamma(G))=Gsetminus Z(G)$ by taking $xsim y$ if and only if $N(x)=N(y)$, where $ N(x)={uin G | x textrm{ and } u textrm{ are adjacent in }Gamma(G)}$ is the open neighborhood of $x$ in $Gamma(G)$. We introduce a new graph determined ...
متن کاملSome numerical results on two classes of finite groups
In this paper, we consider the finitely presented groups $G_{m}$ and $K(s,l)$ as follows;$$G_{m}=langle a,b| a^m=b^m=1,~[a,b]^a=[a,b],~[a,b]^b=[a,b]rangle $$$$K(s,l)=langle a,b|ab^s=b^la,~ba^s=a^lbrangle;$$and find the $n^{th}$-commutativity degree for each of them. Also we study the concept of $n$-abelianity on these groups, where $m,n,s$ and $l$ are positive integers, $m,ngeq 2$ and $g.c.d(s,...
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 1988
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500037676