Burnside Groups

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Release : 2006-11-15
Genre : Mathematics
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Book Rating : 201/5 ( reviews)

Burnside Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Burnside Groups write by J. L. Mennicke. This book was released on 2006-11-15. Burnside Groups available in PDF, EPUB and Kindle.

Theory of Groups of Finite Order

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Release : 1897
Genre : Group theory
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Book Rating : /5 ( reviews)

Theory of Groups of Finite Order - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Theory of Groups of Finite Order write by William Burnside. This book was released on 1897. Theory of Groups of Finite Order available in PDF, EPUB and Kindle.

Groups and Characters

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Release : 1999-11-22
Genre : Mathematics
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Book Rating : 387/5 ( reviews)

Groups and Characters - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Groups and Characters write by Victor E Hill. This book was released on 1999-11-22. Groups and Characters available in PDF, EPUB and Kindle. Group representation theory is both elegant and practical, with important applications to quantum mechanics, spectroscopy, crystallography, and other fields in the physical sciences. Until now, however, there have been virtually no accessible treatments of group theory that include representations and characters. The classic works in the field require a high level of mathematical sophistication, and other texts omit representations and characters. Groups and Characters offers an easy-to-follow introduction to the theory of groups and of group characters. Designed as a rapid survey of the subject, this unique text emphasizes examples and applications of the theorems, and avoids many of the longer and more difficult proofs. The author presents group theory through the Sylow Theorems and includes the full subgroup structure of A5. Representations and characters are worked out with numerous character tables, along with real and induced characters that lead to the table for S5. The text includes specific sections that provide the mathematical basis for some of the important applications of group theory in spectroscopy and molecular structure. It also offers numerous exercises-some stressing computation of concrete examples, others stressing development of the mathematical theory. Groups and Characters provides the ideal grounding for more advanced studies with the classic texts, and for more broad-based work in abstract algebra. Furthermore, physical scientists-whose experience with groups and characters may not be rigorous-will find Groups and Characters the ideal means for gaining a sense of the mathematics lying behind the techniques used in applications.

The Restricted Burnside Problem

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Release : 1993
Genre : Language Arts & Disciplines
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Book Rating : 861/5 ( reviews)

The Restricted Burnside Problem - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Restricted Burnside Problem write by Michael Vaughan-Lee. This book was released on 1993. The Restricted Burnside Problem available in PDF, EPUB and Kindle. The first edition of this book provided an account of the restricted Burnside problem making extensive use of Lie ring techniques to provide a uniform treatment of the field. It also included Kostrikin's theorem for groups of prime exponent. The second edition, as well as providing general updating, contains a new chapter on E.I. Zelmanov's highly acclaimed and recent solution to the Restricted Burnside Problem for arbitrary prime-power exponent. This material is currently only available in papers in Russian journals. This proof ofZelmanov's theorem given in the new edition is self contained, and (unlike Zelmanov's original proof) does not rely on the theory of Jordan algebras.

The Burnside Problem and Identities in Groups

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Release : 1979
Genre : Mathematics
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The Burnside Problem and Identities in Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Burnside Problem and Identities in Groups write by S. I. Adi︠a︡n. This book was released on 1979. The Burnside Problem and Identities in Groups available in PDF, EPUB and Kindle. This book is based on a special course that the author delivered to the Faculty of Mechanics and Mathematics at Moscow University in the academic years 1971/72 and 1972/73. It presents a new and improved version of the method of investigating groups with an identical relation of the form [lowercase italic]x[lowercase italic superscript]n = 1 evolved by P. S. Novikov and the author for solving Burnside's problem on periodic groups, first published in a joint paper. In the interval since the Russian edition was published, the method described has found new applications.