Structure of a Group and the Structure of its Lattice of Subgroups is popular PDF and ePub book, written by Michio Suzuki in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Structure of a Group and the Structure of its Lattice of Subgroups can be Read Online from any device for your convenience.
Structure of a Group and the Structure of its Lattice of Subgroups Book PDF Summary
The central theme of this monograph is the relation between the structure of a group and the structure of its lattice of subgroups. Since the first papers on this topic have appeared, notably those of BAER and ORE, a large body of literature has grown up around this theory, and it is our aim to give a picture of the present state of this theory. To obtain a systematic treatment of the subject quite a few unpublished results of the author had to be included. On the other hand, it is natural that we could not reproduce every detail and had to treat some parts some wh at sketchily. We have tried to make this report as self-contained as possible. Accordingly we have given some proofs in considerable detail, though of course it is in the nature of such areport that many proofs have to be omitted or can only be given in outline. Similarly references to the concepts and theorems used are almost exclusively references to standard works like BIRKHOFF [lJ and ZASSENHAUS [lJ. The author would like to express his sincere gratitude to Professors REINHOLD BAER and DONALD G. HIGMAN for their kindness in giving hirn many valuable suggestions. His thanks are also due to Dr. NOBORU ITo who, during stimulating conversations, contributed many useful ideas. Urbana, May, 1956. M. Suzuki. Contents.
Detail Book of Structure of a Group and the Structure of its Lattice of Subgroups PDF
- Author : Michio Suzuki
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9783642527586
- Genre : Mathematics
- Total Page : 103 pages
- Language : English
- PDF File Size : 21,7 Mb
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