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Author: Stephen D. Smith
Publisher: American Mathematical Soc.
ISBN: 0821805010
Category : Mathematics
Languages : en
Pages : 378
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Book Description
This book is intended as an overview of a research area that combines geometries for groups (such as Tits buildings and generalizations), topological aspects of simplicial complexes from $p$-subgroups of a group (in the spirit of Brown, Quillen, and Webb), and combinatorics of partially ordered sets. The material is intended to serve as an advanced graduate-level text and partly as a general reference on the research area. The treatment offers optional tracks for the reader interested in buildings, geometries for sporadic simple groups, and $G$-equivariant equivalences and homology for subgroup complexes.
Author: Stephen D. Smith
Publisher: American Mathematical Soc.
ISBN: 0821805010
Category : Mathematics
Languages : en
Pages : 378
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Book Description
This book is intended as an overview of a research area that combines geometries for groups (such as Tits buildings and generalizations), topological aspects of simplicial complexes from $p$-subgroups of a group (in the spirit of Brown, Quillen, and Webb), and combinatorics of partially ordered sets. The material is intended to serve as an advanced graduate-level text and partly as a general reference on the research area. The treatment offers optional tracks for the reader interested in buildings, geometries for sporadic simple groups, and $G$-equivariant equivalences and homology for subgroup complexes.
Author: Stephen D. Smith
Publisher: American Mathematical Soc.
ISBN: 1470442914
Category : Mathematics
Languages : en
Pages : 248
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Book Description
Classification of Finite Simple Groups (CFSG) is a major project involving work by hundreds of researchers. The work was largely completed by about 1983, although final publication of the “quasithin” part was delayed until 2004. Since the 1980s, CFSG has had a huge influence on work in finite group theory and in many adjacent fields of mathematics. This book attempts to survey and sample a number of such topics from the very large and increasingly active research area of applications of CFSG. The book is based on the author's lectures at the September 2015 Venice Summer School on Finite Groups. With about 50 exercises from original lectures, it can serve as a second-year graduate course for students who have had first-year graduate algebra. It may be of particular interest to students looking for a dissertation topic around group theory. It can also be useful as an introduction and basic reference; in addition, it indicates fuller citations to the appropriate literature for readers who wish to go on to more detailed sources.
Author: Roland Schmidt
Publisher: Walter de Gruyter
ISBN: 3110868644
Category : Mathematics
Languages : en
Pages : 589
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Book Description
The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany
Author: L.G. Kovacs
Publisher: Springer
ISBN: 3540469001
Category : Mathematics
Languages : en
Pages : 209
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Book Description
Author: Iain P. Hargreaves
Publisher: MDPI
ISBN: 3038972401
Category : Science
Languages : en
Pages : 239
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Book Description
This book is a printed edition of the Special Issue "Current Strategies for the Biochemical Diagnosis and Monitoring of Mitochondrial Disease" that was published in JCM
Author: Dimitrij Akhiezer
Publisher: Springer Science & Business Media
ISBN: 3322802671
Category : Mathematics
Languages : en
Pages : 212
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Book Description
The main topic of this book is the sudy of the interaction between two major subjects of modern mathematics, namely, the theory of Lie groups with its specific methods and ways of thinking on the one hand and complex analysis with all its analytic, algebraic and geometric aspects. More specifically, the author concentrates on the double role of Lie groups in complex analysis, namely, as groups of biholomorphic self-made of certain complex analytic objects on the one hand and as a special class of complex manifolds with an additional strong structure on the other hand. The book starts from the basics of this subject and introduces the reader into many fields of recent research.
Author: Robert Oliver
Publisher: American Mathematical Soc.
ISBN: 0821838288
Category : Mathematics
Languages : en
Pages : 116
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Book Description
We prove here the Martino-Priddy conjecture at the prime $2$: the $2$-completions of the classifying spaces of two finite groups $G$ and $G'$ are homotopy equivalent if and only if there is an isomorphism between their Sylow $2$-subgroups which preserves fusion. This is a consequence of a technical algebraic result, which says that for a finite group $G$, the second higher derived functor of the inverse limit vanishes for a certain functor $\mathcal{Z}_G$ on the $2$-subgroup orbit category of $G$. The proof of this result uses the classification theorem for finite simple groups.
Author: K. T. Arasu
Publisher: Walter de Gruyter
ISBN: 9783110147919
Category : Mathematics
Languages : en
Pages : 480
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Book Description
No detailed description available for "Groups, Difference Sets, and the Monster".
![A Textbook of B.Sc. Mathematics: [Abstract Algebra] Volume III (Andhra Pradesh) PDF](https://books.google.com/books/content/images/frontcover/77qcEAAAQBAJ?fife=w80-h100)
Author: V. VENKATESWARA RAO, Dr. R. BHARAVI SHARMA, B.V.S.S. SARMA, N. KRISHNAMURTHY, S. ANJANEYA SASTRY & S. RANGANATHAM
Publisher: S. Chand Publishing
ISBN: 9355010176
Category : Mathematics
Languages : en
Pages : 312
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Book Description
"A Textbook of B.Sc. Mathematics [Abstract Algebra] Volume III (Andhra Pradesh)" strictly covers the new curriculum for Semester III (2nd year, 1st semester). It covers types of Groups, Sub-Groups, Homomorphism, Permutations, Cyclic groups, and basic properties of Rings with reference to the revised syllabus with Highlighted topics and theorems included for making the book more comprehensive and co-curricular activities are provided at the end of the book to supplement the curriculum.
Author: A.C. Kim
Publisher: Walter de Gruyter
ISBN: 3110908972
Category : Mathematics
Languages : en
Pages : 357
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Book Description
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
