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Titlebook: Cohomology of Finite Groups; Alejandro Adem,R. James Milgram Book 19941st edition Springer-Verlag Berlin Heidelberg 1994 Algebraic K-theor

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书目名称Cohomology of Finite Groups
编辑Alejandro Adem,R. James Milgram
视频video
丛书名称Grundlehren der mathematischen Wissenschaften
图书封面Titlebook: Cohomology of Finite Groups;  Alejandro Adem,R. James Milgram Book 19941st edition Springer-Verlag Berlin Heidelberg 1994 Algebraic K-theor
出版日期Book 19941st edition
关键词Algebraic K-theory; Cohomology of Groups; Group Actions; Homotopy; K-theory; algebra; algebraic topology; c
版次1
doihttps://doi.org/10.1007/978-3-662-06282-1
isbn_ebook978-3-662-06282-1Series ISSN 0072-7830 Series E-ISSN 2196-9701
issn_series 0072-7830
copyrightSpringer-Verlag Berlin Heidelberg 1994
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Classifying Spaces and Group Cohomology, and properties of classifying spaces are essential throughout the remainder of the text. The material in §2 on the Steenrod algebra is not needed in the rest of this chapter and is placed here only for continuity. It is used, however, in Chapter III, §3, and, from then on, more and more frequently
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G-Complexes and Equivariant Cohomology,damental way. First developed by Borei and then by Quillen, this approach is the natural generalization of classical Smith Theory. After reviewing the basic constructions and a few examples, we will apply these techniques to certain complexes defined from subgroups of a group G, first introduced by
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Finite Groups of Lie Type,his took over 20 years and occupies almost 5000 pages in the literature. It is conceivable that there are some errors there, so the details of classification are not really available to us, but the main results can be summarized. There are 17 families of simple groups, the alternating groups and 16
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Cohomology of Sporadic Simple Groups,lassification of finite simple groups, [Gor], it was shown that there exist 2Ì3 simple groups not belonging to infinite families (i.e. not of alternating or Lie type) and we study six of these groups here: four of the five Mathieu groups, the first Janko group, J., and the O’Nan group ..
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