LEADER 02785nam 22004335a 450 001 9910151927503321 005 20120613234500.0 010 $a3-03719-610-6 024 70$a10.4171/110 035 $a(CKB)3710000000953883 035 $a(CH-001817-3)152-120613 035 $a(PPN)178156116 035 $a(EXLCZ)993710000000953883 100 $a20120613j20120613 fy 0 101 0 $aeng 135 $aurnn|mmmmamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$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 LEADER 01815nam 2200529I 450 001 9910704439203321 005 20130603111740.0 035 $a(CKB)5470000002441304 035 $a(OCoLC)846465786 035 $a(EXLCZ)995470000002441304 100 $a20130603d2011 ua 0 101 0 $aeng 135 $aurmn||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAutomating the generation of heterogeneous aviation safety cases /$fEwen W. Denney, Ganesh J. Pai, Josef M. Pohl 210 1$aMoffett Field, California :$cNational Aeronautics and Space Administration, Ames Research Center,$d2011. 215 $a1 online resource (96 pages) $cillustrations (some color) 225 1 $aNASA/CR ;$v2011-215983 300 $aTitle from title screen (viewed on June 3, 2013). 300 $a"August 2011." 320 $aIncludes bibliographical references (pages 82-85). 606 $aAircraft safety$2nasat 606 $aAutomatic control$2nasat 606 $aUnmanned aircraft systems$2nasat 606 $aAirborne equipment$2nasat 606 $aControl systems design$2nasat 606 $aAircraft models$2nasat 606 $aAircraft design$2nasat 615 7$aAircraft safety. 615 7$aAutomatic control. 615 7$aUnmanned aircraft systems. 615 7$aAirborne equipment. 615 7$aControl systems design. 615 7$aAircraft models. 615 7$aAircraft design. 700 $aDenney$b Ewen W.$01406490 702 $aPai$b Ganesh J. 702 $aPohl$b Josef M. 712 02$aAmes Research Center, 801 0$bGPO 801 1$bGPO 906 $aBOOK 912 $a9910704439203321 996 $aAutomating the generation of heterogeneous aviation safety cases$93485627 997 $aUNINA