000 02976nam a22004815i 4500
001 978-0-387-76366-8
003 DE-He213
005 20250710084023.0
007 cr nn 008mamaa
008 100301s2008 xxu| s |||| 0|eng d
020 _a9780387763668
_a99780387763668
024 7 _a10.1007/978-0-387-76366-8
_2doi
100 1 _aEbert, Gary.
_eauthor.
245 1 0 _aUnitals in Projective Planes
_h[recurso electrónico] /
_cby Gary Ebert, Susan Barwick.
264 1 _aNew York, NY :
_bSpringer New York,
_c2008.
300 _bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Monographs in Mathematics,
_x1439-7382
505 0 _aPreliminaries -- Hermitian Curves and Unitals -- Translation Planes -- Unitals Embedded in Desarguesian Planes -- Unitals Embedded in Non-Desarguesian Planes -- Combinatorial Questions and Associated Configurations -- Characterization Results -- Open Problems.
520 _aThis clearly written text is the first book on unitals embedded in finite projective planes. Unitals are key structures in square order projective planes, and have connections with other structures in algebra. They provide a link between groups and geometries. There is a considerable number of research articles concerning unitals, and there also exist many open problems. This book is a thorough survey of the research literature on embedded unitals which collects this material in book form for the first time. The book is aimed at graduate students and researchers who want to learn about this topic without reading all the original articles. The primary proof techniques used involve linear algebraic arguments, finite field arithmetic, some elementary number theory, and combinatorial enumeration. Some computer results not previously found in the literature also are mentioned in the text. The authors have included a comprehensive bibliography which will become an invaluable resource. Gary Ebert is Professor of Mathematics at the University of Delaware, USA. Susan Barwick is a Senior Lecturer of Mathematics at the University of Adelaide, Australia.
650 0 _aMATHEMATICS.
650 0 _aALGEBRA.
650 0 _aGROUP THEORY.
650 0 _aCOMBINATORICS.
650 0 _aGEOMETRY.
650 1 4 _aMATHEMATICS.
650 2 4 _aGROUP THEORY AND GENERALIZATIONS.
650 2 4 _aALGEBRA.
650 2 4 _aCOMBINATORICS.
650 2 4 _aGEOMETRY.
700 1 _aBarwick, Susan.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387763644
830 0 _aSpringer Monographs in Mathematics,
_x1439-7382
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-387-76366-8
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-SMA
942 _2ddc
_cER
999 _c58755
_d58755