Relevant groups for fitting classes
نویسندگان
چکیده
منابع مشابه
On Minimal Fitting Classes of Periodic, Infinite Groups
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...
متن کاملA 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.
متن کاملCOMPUTING THE PRODUCTS OF CONJUGACY CLASSES FOR SPECIFIC FINITE GROUPS
Suppose $G$ is a finite group, $A$ and $B$ are conjugacy classes of $G$ and $eta(AB)$ denotes the number of conjugacy classes contained in $AB$. The set of all $eta(AB)$ such that $A, B$ run over conjugacy classes of $G$ is denoted by $eta(G)$.The aim of this paper is to compute $eta(G)$, $G in { D_{2n}, T_{4n}, U_{6n}, V_{8n}, SD_{8n}}$ or $G$ is a decomposable group of order $2pq$, a group of...
متن کاملOn the Shemetkov Problem for Fitting Classes ∗
Suppose that π be a set of primes and F a local Fitting class. Let Kπ(F) be the set of finite π-soluble groups with a Hall πsubgroup belonging to F. In this paper, we show that the class Kπ(F) is a local Fitting class. Thus, an interesting Shemetkov question for Fitting classes will be answered positively. By using the result, the F-radical of a Hall π-subgroup of a finite π-soluble group is de...
متن کاملForensically relevant SNP classes.
Forensic samples that contain too little template DNA or are too degraded require alternate genetic marker analyses or approaches to what is currently used for routine casework. Single nucleotide polymorphisms (SNPs) offer promise to support forensic DNA analyses because of an abundance of potential markers, amenability to automation, and potential reduction in required fragment length to only ...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1981
ISSN: 0021-8693
DOI: 10.1016/0021-8693(81)90283-0