Combinatorial Algebra: Syntax and Semantics
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The work Combinatorial Algebra: Syntax and Semantics represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Combinatorial Algebra: Syntax and Semantics
Resource Information
The work Combinatorial Algebra: Syntax and Semantics represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Combinatorial Algebra: Syntax and Semantics
 Statement of responsibility
 by Mark V. Sapir
 Subject

 Group Theory and Generalizations
 Mathematics
 Combinatorics
 Mathematical Logic and Foundations
 Mathematics
 Logic, Symbolic and mathematical
 Logic, Symbolic and mathematical
 Group theory
 Combinatorics
 Electronic resources
 Mathematics
 Combinatorics
 Logic, Symbolic and mathematical
 Group theory
 Group theory
 Language
 eng
 Summary
 Combinatorial Algebra: Syntax and Semantics provides a comprehensive account of many areas of combinatorial algebra. It contains selfcontained proofs of more than 20 fundamental results, both classical and modern. This includes Golod–Shafarevich and Olshanskii's solutions of Burnside problems, Shirshov's solution of Kurosh's problem for PI rings, Belov's solution of Specht's problem for varieties of rings, Grigorchuk's solution of Milnor's problem, Bass–Guivarc'h theorem about the growth of nilpotent groups, Kleiman's solution of Hanna Neumann's problem for varieties of groups, Adian's solution of von NeumannDay's problem, Trahtman's solution of the road coloring problem of Adler, Goodwyn and Weiss. The book emphasize several ``universal" tools, such as trees, subshifts, uniformly recurrent words, diagrams and automata. With over 350 exercises at various levels of difficulty and with hints for the more difficult problems, this book can be used as a textbook, and aims to reach a wide and diversified audience. No prerequisites beyond standard courses in linear and abstract algebra are required. The broad appeal of this book extends to a variety of student levels: from advanced highschoolers to undergraduates and graduate students, including those in search of a Ph.D. thesis who will benefit from the “Further reading and open problems” sections at the end of Chapters 2 –5. The book can be used in a classroom and for selfstudy, engaging anyone who wishes to learn and better understand this important area of mathematics
 Image bit depth
 0
 LC call number
 QA174183
 Literary form
 non fiction
 Series statement
 Springer Monographs in Mathematics,
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