02297nam a22003618i 4500001001600000003000700016008004100023020001800064020001800082020001800100035002000118041000800138082001500146100002700161245019100188264007100379300003800450336002600488337002600514338003600540490005200576500001300628520098400641650001801625650002201643650002001665700002501685700003001710856005201740932003201792596000601824949010501830CR9781316588246UkCbUP151001s2017||||enk o ||1 0|eng|d a9781316588246 a9781107152359 a9781316606520 a(Sirsi) a797584 aeng00a512/.22231 aHolt, Derek F.,euthor10aGroups, languages, and automatah[E-Book] /cDerek F. Holt, University of Warwick, Sarah Rees, University of Newcastle upon Tyne, Claas E. Röver, National University of Ireland, Galway. 1aCambridge :bCambridge University Press,c2017e(CUP)fCUP20200108 a1 online resource (xi, 294 pages) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier aLondon Mathematical Society student texts ;v88 aenglisch aFascinating connections exist between group theory and automata theory, and a wide variety of them are discussed in this text. Automata can be used in group theory to encode complexity, to represent aspects of underlying geometry on a space on which a group acts, and to provide efficient algorithms for practical computation. There are also many applications in geometric group theory. The authors provide background material in each of these related areas, as well as exploring the connections along a number of strands that lead to the forefront of current research in geometric group theory. Examples studied in detail include hyperbolic groups, Euclidean groups, braid groups, Coxeter groups, Artin groups, and automata groups such as the Grigorchuk group. This book will be a convenient reference point for established mathematicians who need to understand background material for applications, and can serve as a textbook for research students in (geometric) group theory. 0aGroup theory. 0aFormal languages. 0aMachine theory.1 aRees, Sarah,eauthor1 aRöver, Claas E.,eauthor40uhttps://doi.org/10.1017/9781316588246zVolltext aCambridgeCore (Order 30059) a1 aXX(797584.1)wAUTOc1i797584-1001lELECTRONICmZBrNsYtE-BOOKu8/1/2020xUNKNOWNzUNKNOWN1ONLINE