000			03090nam a22004575i 4500
001			978-3-540-46444-0
003			DE-He213
005			20160624101823.0
007			cr nn 008mamaa
008			130109s1991 gw | s |||| 0|eng d
020			_a9783540464440 _9978-3-540-46444-0
024	7		_a10.1007/BFb0083245 _2doi
050		4	_aQA164-167.2
072		7	_aPBV _2bicssc
072		7	_aMAT036000 _2bisacsh
082	0	4	_a511.6 _223
100	1		_aMetsch, Klaus. _eauthor.
245	1	0	_aLinear Spaces with Few Lines _h[electronic resource] / _cby Klaus Metsch.
260		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1991.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1991.
300			_aXIV, 202 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aLecture Notes in Mathematics, _x0075-8434 ; _v1490
505	0		_aDefinition and basic properties of linear spaces -- Lower bounds for the number of lines -- Basic properties and results of (n+1,1)-designs -- Points of degree n -- Linear spaces with few lines -- Embedding (n+1,1)-designs into projective planes -- An optimal bound for embedding linear spaces into projective planes -- The theorem of totten -- Linear spaces with n2+n+1 points -- A hypothetical structure -- Linear spaces with n2+n+2 lines -- Points of degree n and another characterization of the linear spaces L(n,d) -- The non-existence of certain (7,1)-designs and determination of A(5) and A(6) -- A result on graph theory with an application to linear spaces -- Linear spaces in which every long line meets only few lines -- s-fold inflated projective planes -- The Dowling Wilson Conjecture -- Uniqueness of embeddings.
520			_aA famous theorem in the theory of linear spaces states that every finite linear space has at least as many lines as points. This result of De Bruijn and Erd|s led to the conjecture that every linear space with "few lines" canbe obtained from a projective plane by changing only a small part of itsstructure. Many results related to this conjecture have been proved in the last twenty years. This monograph surveys the subject and presents several new results, such as the recent proof of the Dowling-Wilsonconjecture. Typical methods used in combinatorics are developed so that the text can be understood without too much background. Thus the book will be of interest to anybody doing combinatorics and can also help other readers to learn the techniques used in this particular field.
650		0	_aMathematics.
650		0	_aCombinatorics.
650	1	4	_aMathematics.
650	2	4	_aCombinatorics.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783540547204
786			_dSpringer
830		0	_aLecture Notes in Mathematics, _x0075-8434 ; _v1490
856	4	0	_uhttp://dx.doi.org/10.1007/BFb0083245
942			_2EBK1412 _cEBK
999			_c30706 _d30706