The classification of quasithin groups I
نویسندگان
چکیده
In 1983, Danny Gorenstein announced the completion of the Classification of the Finite Simple Groups. This announcement was somewhat premature. The Classification of the Finite Simple Groups was at last completed with the publication in 2004 of the two monographs under review here. These volumes, classifying the quasithin finite simple groups of even characteristic, are a major milestone in the history of finite group theory. It is appropriate that the great classification endeavor, whose beginning may reasonably be dated to the publication of the monumental Odd Order Paper [FT] of Feit and Thompson in 1963, ends with the publication of a work whose size dwarfs even that massive work.
منابع مشابه
A 2-local Characterization of M12
A characterization of the Mathieu group M12 is established; the characterization is used by Aschbacher and Smith in their classification of the quasithin finite simple groups. This is one in a series of papers providing simplified, modern, computer free treatments of the existence and uniqueness of the sporadic groups, and of the normalizers of subgroups of prime order and Sylow subgroups in th...
متن کاملFeature Selection and Classification of Microarray Gene Expression Data of Ovarian Carcinoma Patients using Weighted Voting Support Vector Machine
We can reach by DNA microarray gene expression to such wealth of information with thousands of variables (genes). Analysis of this information can show genetic reasons of disease and tumor differences. In this study we try to reduce high-dimensional data by statistical method to select valuable genes with high impact as biomarkers and then classify ovarian tumor based on gene expression data of...
متن کاملGenetic Variation within Iranian Iris Species Using Morphological Traits
Iris belongs toIridaceae family and it is monocotyledon. Iris is one of the important ornamental and medicinal plants. 34 iris genotypes (14 species) collected from different provinces of Iran were planted at National Institute of Ornamental Plants (NIOP) Iran. All of the species evaluated for 15 quantitative traits and 30 qualitative traits. Results showed that the highest positive correlation...
متن کاملبررسی اثر کامپوزیت فلو (لاینر) و نوع باندینگ بر ریزنشت کامپوزیت Z250در حفرات کلاس II (در محیط آزمایشگاهی)
Background and Objective: Microleakage is the most important reason for secondary caries and treatment failure. The aim of this study was to evaluate the effect of liner (flowable composite) and bonding agents on microleakage of resin composite (z250) in class II cavities. Materials and Methods: Standardized Class II cavities were prepared on mesial and distal of 80 human premolars. The teet...
متن کامل