Biliotti M., Jha V., Johnson N. — Foundations of translation planes :: Электронная библиотека попечительского совета мехмата МГУ

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Biliotti M., Jha V., Johnson N. — Foundations of translation planes

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Название: Foundations of translation planes

Авторы: Biliotti M., Jha V., Johnson N.

Аннотация:

An exploration of the construction and analysis of translation planes to spreads, partial spreads, co-ordinate structures, automorphisms, autotopisms, and collineation groups. It emphasizes the manipulation of incidence structures by various coordinate systems, including quasisets, spreads and matrix spreadsets. The volume showcases methods of structure theory as well as tools and techniques for the construction of new planes.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2001

Количество страниц: 567

Добавлена в каталог: 01.12.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Rational Partial Spread      53
Rational Partial Spread across W      53
Rational Partial Spread Determined by W      53
Ray      520
Regular Set of Maps      60
Regular spread      253
Regulus      245 247
Regulus in PG(3,q)      29
Replacement Net      268
Representation      501
Representation module      501
Restriction of Additive Subspace of Partial Spreadset      81
Retraction Quasi-spreadset      454
Retractions      451
Right multiplier      164
Right nucleus      168
Right Nucleus Slopeset      202
Right vector space quasified      403
Right Vector Space Quasifield      210
Right-Projective Space      506
s-Inversion of a Conical Spread      32
s-Square of a Conical Spread      33
Scalar Group      499
Scalar Homologies      522
Scalar Mapping      499
Scalar Regulus      249
Scalar Representation      499
Scale for a Lamda-Structure      325
Schur Intertwining Condition      216
Schur kernel      62 215
Schur Pair      216
Schur-kernel      218
Semi-nuclei      169
Semi-Regular Set of Maps      60
Semi-Simple R-module      501
Semi-Translation Planes      371
Semifield      172 178 384
Semilinear Group      499
Semilinear Group as the Stabilizer of 0      22
Set-Theoretic Incidence Structures      508
Shear      522
Shears Group      203
Sigma-associated Quasi-spreadsets      449
Sigma-Regulus      426 427
Simple KG-module      501
Simple R-module      501
Skew-Hall Planes      237
Skewfield      499
slope      513
Slope of a Partial Spreadset Element      97
Slopemaps      182
Slopes      182
Slopeset      71 97 182
Slopeset of a Partial Quasifield      120
Slopeset Relative to a Basis      104
Split extension      502
Splitting Normal Partition      11
SPREAD      10 15
Spread Components      15
Spread Isomorphism      18

Spreads Equivalent by Basis-Change      80
Spreads in PG(3,q)      25
Spreadset      61
Spreadset of a Pseudo quasifield      182
Standard Form of a Regulus      30
Standard Isotopism Triangle      196
Standard Representations of GL(2,K) and SL(2,K)      352
Sub(partial) Quasifield      122
Sub(Partial) Spread      45
Sub(partial) Spreadset      82
Sub-Partial Spread      42
Subnets of Translation Nets      44
Subpartial Spreads across Subspaces      45
Subplane covered net      482
Subplane-regular affine plane      482
Subspace Incidence Structures      508
Subsystem of a Partial Quasifield      122
Symmetric Autotopism      150
Symmetric Autotopism Group      150
Systems Coordinatizing Spreadsets      186
T-Distortion      409
t-extension      408
T-Transpose-Extension      406
Tangent line      310
Tangent point      310
Tangent to an Oval Cone      491
Tangentially Transitive Group      310
Tangentially Transitive Plane      310
Tangentially Transitive Subplane      310
Tau-Subspace      140
Tensor-Extension of a Partial Spread      348
The Regulus Partial Spread      29
trace function      34
Transitive Set of Maps      60
Translation      510
Translation group      179 504
Translation Net      40 44
Translation of an Affine Plane      522
Translations      504
Transposed Spread      469
Transversal      245 247
Twist of a Schur-kernel      218
Twisted cubic      490
Twisted Fields      388
u-Rank of a Group      524
Unit line      71 142
Unit Line of a Coordinatization      97
Unit point      142
Unit Point for a Quasifield      120
Vaughan Polynomial      389
Vaughn Polynomial      390
W-Labeled Scalar Pseudo-Regulus      249
Walker Planes of Order      25 493
x- and y-axes of a Coordinatization      97
x-axis      142
x-Axis for a Quasifield      120
y-axis      142
y-Axis for a Quasifield      120
Y-Shears Group      346
Z-group      525

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