LEADER 02851nam 22005775 450 001 9910146314203321 005 20200702153507.0 010 $a3-540-45580-9 024 7 $a10.1007/BFb0103892 035 $a(CKB)1000000000437283 035 $a(SSID)ssj0000326070 035 $a(PQKBManifestationID)12097370 035 $a(PQKBTitleCode)TC0000326070 035 $a(PQKBWorkID)10265243 035 $a(PQKB)10361671 035 $a(DE-He213)978-3-540-45580-6 035 $a(MiAaPQ)EBC6287394 035 $a(MiAaPQ)EBC5577001 035 $a(Au-PeEL)EBL5577001 035 $a(OCoLC)1066177120 035 $a(PPN)155202006 035 $a(EXLCZ)991000000000437283 100 $a20121227d2000 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aQuilts: Central Extensions, Braid Actions, and Finite Groups /$fby Tim Hsu 205 $a1st ed. 2000. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2000. 215 $a1 online resource (XIV, 190 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1731 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-67397-0 327 $aBackground material -- Quilts -- Norton systems and their quilts -- Examples of quilts -- The combinatorics of quilts -- Classical interpretations of quilts -- Presentations and the structure problem -- Small snug quilts -- Monodromy systems -- Quilts for groups involved in the monster -- Some results on the structure problem -- Further directions. 330 $aQuilts are 2-complexes used to analyze actions and subgroups of the 3-string braid group and similar groups. This monograph establishes the fundamentals of quilts and discusses connections with central extensions, braid actions, and finite groups. Most results have not previously appeared in a widely available form, and many results appear in print for the first time. This monograph is accessible to graduate students, as a substantial amount of background material is included. The methods and results may be relevant to researchers interested in infinite groups, moonshine, central extensions, triangle groups, dessins d'enfants, and monodromy actions of braid groups. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1731 606 $aGroup theory 606 $aGroup Theory and Generalizations$3https://scigraph.springernature.com/ontologies/product-market-codes/M11078 615 0$aGroup theory. 615 14$aGroup Theory and Generalizations. 676 $a512.2 700 $aHsu$b Tim$4aut$4http://id.loc.gov/vocabulary/relators/aut$062626 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910146314203321 996 $aQuilts$978791 997 $aUNINA