MARC Record from marc_columbia

LEADER: 03709cam a2200601Ii 4500
001 16039873
005 20220402230112.0
006 m o d
007 cr |n|||||||||
008 120708t20122012sz a ob 001 0 eng d
035 $a(OCoLC)ocn798793828
035 $a(NNC)16039873
040 $aCOO$beng$erda$cCOO$dOCLCQ$dOSU$dOCLCQ$dNOC$dLLB$dSTF$dN$T$dINT$dOCLCQ$dOCLCO
019 $a830027307
020 $a9783037196106$q(electronic bk.)
020 $a3037196106$q(electronic bk.)
020 $z9783037191101
020 $z3037191104
035 $a(OCoLC)798793828$z(OCoLC)830027307
037 $b01534810
050 4 $aQA167.2$b.T428 2012eb
072 7 $aMAT$x012000$2bisacsh
082 04 $a516.15
084 $a05-xx$a20-xx$a51-xx$2msc
049 $aZCUA
100 1 $aThas, Koen,$d1977-$eauthor.
245 12 $aA course on elation quadrangles /$cKoen Thas.
264 1 $aZürich, Switzerland :$bEuropean Mathematical Society,$c[2012]
264 4 $c©2012
300 $a1 online resource (xii, 116 pages) :$billustrations.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
490 1 $aEMS series of lectures in mathematics
504 $aIncludes bibliographical references (pages 105-109) and index.
588 $aDescription based on print version record.
520 $aThe notion of elation generalized quadrangle is a natural generalization to the theory of generalized quadrangles of the important notion of translation planes in the theory of projective planes. Almost any known class of finite generalized quadrangles can be constructed from a suitable class of elation quadrangles. In this book the author considers several aspects of the theory of elation generalized quadrangles. Special attention is given to local Moufang conditions on the foundational level, exploring for instance a question of Knarr from the 1990s concerning the very notion of elation quadrangles. All the known results on Kantor's prime power conjecture for finite elation quadrangles are gathered, some of them published here for the first time. The structural theory of elation quadrangles and their groups is heavily emphasized. Other related topics, such as p-modular cohomology, Heisenberg groups and existence problems for certain translation nets, are briefly touched. The text starts from scratch and is essentially self-contained. Many alternative proofs are given for known theorems. Containing dozens of exercises at various levels, from very easy to rather difficult, this course will stimulate undergraduate and graduate students to enter the fascinating and rich world of elation quadrangles. The more accomplished mathematician will especially find the final chapters challenging.
650 0 $aFinite generalized quadrangles$xMathematical models.
650 0 $aMoufang loops$xMathematical models.
650 0 $aAbelian p-groups$xMathematical models.
650 6 $aQuadrangles généralisés$xModèles mathématiques.
650 6 $aMoufang, Boucles de$xModèles mathématiques.
650 6 $ap-Groupes abéliens$xModèles mathématiques.
650 07 $aCombinatorics & graph theory.$2bicssc
650 7 $aMATHEMATICS / Geometry / General$2bisacsh
650 07 $aCombinatorics.$2msc
650 07 $aGroup theory and generalizations.$2msc
650 07 $aGeometry.$2msc
655 4 $aElectronic books.
776 08 $iPrint version:$aThas, Koen, 1977-$tCourse on elation quadrangles$z3037191104$w(OCoLC)794970633
830 0 $aEMS series of lectures in mathematics.
856 40 $uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio16039873$zAll EBSCO eBooks
852 8 $blweb$hEBOOKS