000			03036nam a22005175i 4500
001			978-0-387-76366-8
003			DE-He213
005			20161121231209.0
007			cr nn 008mamaa
008			100301s2008 xxu| s |||| 0|eng d
020			_a9780387763668 _9978-0-387-76366-8
024	7		_a10.1007/978-0-387-76366-8 _2doi
050		4	_aQA440-699
072		7	_aPBM _2bicssc
072		7	_aMAT012000 _2bisacsh
082	0	4	_a516 _223
100	1		_aEbert, Gary. _eauthor.
245	1	0	_aUnitals in Projective Planes _h[electronic resource] / _cby Gary Ebert, Susan Barwick.
264		1	_aNew York, NY : _bSpringer New York, _c2008.
300			_aXII, 196 p. 29 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _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	_aGeometry.
650		0	_aCombinatorics.
650	1	4	_aMathematics.
650	2	4	_aGeometry.
650	2	4	_aCombinatorics.
650	2	4	_aAlgebra.
650	2	4	_aGroup Theory and Generalizations.
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
912			_aZDB-2-SMA
950			_aMathematics and Statistics (Springer-11649)
999			_c509981 _d509981