Holt, Derek F <br/><br/>
Groups, languages, and automata / 
Derek F. Holt, University of Warwick, Sarah Rees, University of Newcastle upon Tyne, Claas E. R©œver, National University of Ireland, Galway 
 - xi, 294 pages :  illustrations. 
 - London Mathematical Society student texts ;  88 .
 - London Mathematical Society student texts ;  88 .
<br/><br/>Includes bibliographical references and indexes 
<br/><br/>Part one. Introduction. Group theory ; Formal languages and automata theory ; Introduction to the word problem --  Part two. Finite state automaata and groups. Rewriting systems ; Automatic groups ; Hyperbolic groups ; Geodesics ; --  Subgroups and coset systems ; Automata groups --  Part three. The word problem. Solubility of the word problem ; Context-free and one-counter word problems ; Context-sensitive problems ; Word problems in other language classes ; The co-word problem and the conjugacy problem. 
<br/><br/> Many connections exist between group theory and automata theory, and a wide variety of them are discussed in this text. Any necessary background material is provided, and connections are explored along a number of strands that lead to the forefront of current research in geometric group theory. 
<br/><br/><label>ISBN: </label>1107152356 131660652X 9781107152359 9781316606520 
<br/><br/><label>LCCN: </label>2016059485 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Formal languages<br/>Group theory<br/>Machine theory
<br/><br/><label>LC Class. No.: </label>QA174.2  / .H648 2017 
<br/><br/><label>Dewey Class. No.: </label>512/.2