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101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aA Course on Elation Quadrangles$b[electronic resource] /$fKoen Thas
210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2012
215   $a1 online resource (129 pages)
225 0 $aEMS Series of Lectures in Mathematics (ELM) ;$x2523-5176
330   $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.
606   $aCombinatorics & graph theory$2bicssc
606   $aCombinatorics$2msc
606   $aGroup theory and generalizations$2msc
606   $aGeometry$2msc
615 07$aCombinatorics & graph theory
615 07$aCombinatorics
615 07$aGroup theory and generalizations
615 07$aGeometry
686   $a05-xx$a20-xx$a51-xx$2msc
700   $aThas$b Koen$0726617
801  0$bch0018173
906   $aBOOK
912   $a9910151927503321
996   $aA Course on Elation Quadrangles$92564802
997   $aUNINA