LEADER 02874nam 2200625 450 001 996466667603316 005 20220629132918.0 010 $a3-540-49182-1 024 7 $a10.1007/BFb0094449 035 $a(CKB)1000000000437200 035 $a(SSID)ssj0000323151 035 $a(PQKBManifestationID)12125901 035 $a(PQKBTitleCode)TC0000323151 035 $a(PQKBWorkID)10296394 035 $a(PQKB)11064184 035 $a(DE-He213)978-3-540-49182-8 035 $a(MiAaPQ)EBC5586103 035 $a(Au-PeEL)EBL5586103 035 $a(OCoLC)1066199624 035 $a(MiAaPQ)EBC6742886 035 $a(Au-PeEL)EBL6742886 035 $a(OCoLC)1113636113 035 $a(PPN)155228455 035 $a(EXLCZ)991000000000437200 100 $a20220629d1995 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aFinite geometry and character theory /$fAlexander Pott 205 $a1st ed. 1995. 210 1$aBerlin ;$aHeidelberg :$cSpringer-Verlag,$d[1995] 210 4$dİ1995 215 $a1 online resource (VIII, 188 p.) 225 1 $aLecture Notes in Mathematics ;$vVolume 1601 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a0-387-59065-X 311 $a3-540-59065-X 327 $aPreliminaries: Incidence structures with singer groups -- Examples: Existence and non-existence -- Difference sets with classical parameters -- Semiregular relative difference sets -- Projective planes with quasiregular collineation groups -- Codes and sequences. 330 $aDifference sets are of central interest in finite geometry and design theory. One of the main techniques to investigate abelian difference sets is a discrete version of the classical Fourier transform (i.e., character theory) in connection with algebraic number theory. This approach is described using only basic knowledge of algebra and algebraic number theory. It contains not only most of our present knowledge about abelian difference sets, but also gives applications of character theory to projective planes with quasiregular collineation groups. Therefore, the book is of interest both to geometers and mathematicians working on difference sets. Moreover, the Fourier transform is important in more applied branches of discrete mathematics such as coding theory and shift register sequences. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$vVolume 1601. 606 $aFinite geometries 606 $aDifference sets 615 0$aFinite geometries. 615 0$aDifference sets. 676 $a516.13 700 $aPott$b Alexander$f1961-$060997 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466667603316 996 $aFinite geometry and character theory$978108 997 $aUNISA