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Algorithmic and geometric topics around free groups and automorphisms [electronic resource]

Algorithmic and geometric topics around free groups and automorphisms [electronic resource]

자료유형
E-Book(소장)
개인저자
Aramayona, Javier. González-Meneses, Juan. Lustig, Martin. Ventura, Enric.
서명 / 저자사항
Algorithmic and geometric topics around free groups and automorphisms [electronic resource] / Javier Aramayona ... [et al.]. ; Juan González-Meneses, Martin Lustig, Enric Ventura, editors.
발행사항
Cham :   Birkhäuser,   c2017.  
형태사항
1 online resource (ix, 149 p.) : ill.
총서사항
Advanced courses in mathematics, CRM Barcelona,2297-0304
ISBN
9783319609393 9783319609409 (eBook)
요약
This volume presents the lecture notes from the authors’ three summer courses offered during the program “Automorphisms of Free Groups: Geometry, Topology, and Dynamics” held at the Centre de Recerca Matemàtica (CRM) in Bellaterra, Spain. The first two chapters present the basic tools needed, from formal language theory (regular and context-free languages, automata, rewriting systems, transducers, etc) and emphasize their connections to group theory, mostly relating to free and virtually-free groups. The material covered is sufficient to present full proofs of many of the existing interesting characterizations of virtually-free groups. In turn, the last chapter comprehensively describes Bonahon’s construction of Thurston’s compactification of Teichmüller space in terms of geodesic currents on surfaces. It also includes several intriguing extensions of the notion of geodesic current to various other, more general settings.
일반주기
Title from e-Book title page.  
서지주기
Includes bibliographical references.
이용가능한 다른형태자료
Issued also as a book.  
일반주제명
Automorphisms. Free groups. Group theory. Computer science --Mathematics.
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020 ▼a 9783319609393
020 ▼a 9783319609409 (eBook)
040 ▼a 211009 ▼c 211009 ▼d 211009
050 4 ▼a QA174-183
082 0 4 ▼a 512.2 ▼2 23
084 ▼a 512.2 ▼2 DDCK
090 ▼a 512.2
245 0 0 ▼a Algorithmic and geometric topics around free groups and automorphisms ▼h [electronic resource] / ▼c Javier Aramayona ... [et al.]. ; Juan González-Meneses, Martin Lustig, Enric Ventura, editors.
260 ▼a Cham : ▼b Birkhäuser, ▼c c2017.
300 ▼a 1 online resource (ix, 149 p.) : ▼b ill.
490 1 ▼a Advanced courses in mathematics, CRM Barcelona, ▼x 2297-0304
500 ▼a Title from e-Book title page.
504 ▼a Includes bibliographical references.
520 ▼a This volume presents the lecture notes from the authors’ three summer courses offered during the program “Automorphisms of Free Groups: Geometry, Topology, and Dynamics” held at the Centre de Recerca Matemàtica (CRM) in Bellaterra, Spain. The first two chapters present the basic tools needed, from formal language theory (regular and context-free languages, automata, rewriting systems, transducers, etc) and emphasize their connections to group theory, mostly relating to free and virtually-free groups. The material covered is sufficient to present full proofs of many of the existing interesting characterizations of virtually-free groups. In turn, the last chapter comprehensively describes Bonahon’s construction of Thurston’s compactification of Teichmüller space in terms of geodesic currents on surfaces. It also includes several intriguing extensions of the notion of geodesic current to various other, more general settings.
530 ▼a Issued also as a book.
538 ▼a Mode of access: World Wide Web.
650 0 ▼a Automorphisms.
650 0 ▼a Free groups.
650 0 ▼a Group theory.
650 0 ▼a Computer science ▼x Mathematics.
700 1 ▼a Aramayona, Javier.
700 1 ▼a González-Meneses, Juan.
700 1 ▼a Lustig, Martin.
700 1 ▼a Ventura, Enric.
830 0 ▼a Advanced courses in mathematics, CRM Barcelona.
856 4 0 ▼u https://oca.korea.ac.kr/link.n2s?url=https://doi.org/10.1007/978-3-319-60940-9
945 ▼a KLPA
991 ▼a E-Book(소장)

소장정보

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 중앙도서관/e-Book 컬렉션/ 청구기호 CR 512.2 등록번호 E14014794 도서상태 대출불가(열람가능) 반납예정일 예약 서비스 M

컨텐츠정보

목차

Foreword.- Fixed Points of Endomorphisms.- Context-Free Groups and Bass-Serre Theory.- Hyperbolic Structures on Surfaces and Geodesic Currents.


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