Notes on Groups and Geometry, 1978-1986
by Steven H. Cullinane

Typewritten notes collected in a 40-page PDF document.

PDF: 3.5 MB (June 1, 2012)   DjVu: 1.3 MB (June 14, 2012)

CONTENTS

01  1978-??-??   "An invariance of symmetry" Research announcement.
02  1978-10-??   "Symmetry invariance in a diamond ring," AMS abstract
                            received Oct. 31, 1978.
03  1978-12-??   "Orthogonality of Latin squares viewed as as skewness of lines"
04  1981-11-05  "Patterns invariant, modulo rigid motions, under groups of
                            discontinuous transformations: two examples"
05  1981-12-24  "Solid symmetry"-- "Motions of each cell induce
                            motions of  the entire pattern."
06  1982-05-12  "Map systems" Definition.
07  1982-06-12  "Inscapes" Definition.
08  1982-09-12  "A symplectic array"
09  1982-09-22  "Inscapes II" Generalized definition.
10  1982-12-27  "Group scores" Definition.
11  1983-05-31  "Decompositions of group enveloping algebras"
12  1983-06-21  "An invariance of symmetry" Group actions on a 4x4x4 cube.
13  1983-08-04  "Group identity algebras" Definition.
14  1982-08-26  "Transformations over a bridge" Definition and problem.
15  1983-10-01  "Portrait of O" Action of the octahedral group.
16  1983-10-16  "Study of O"  Group actions on two-color cubes.
17  1983-11-08  "Compound groups" Definition and problem.
18  1983-11-10  "Group compounds"  Definition and problem.
19  1983-11-27  "Table groups" Definition and problem.
20  1984-01-05  "Linear operators in geometric function spaces"
                            Definition, theorem, problem.
21  1984-09-15  "Diamonds and whirls" Blocks illustrate group actions.
22  1984-09-25  "Affine groups on small binary spaces" Theorem.
23  1985-03-26  "Visualizing GL(2,p)" Example on a 3x3 array.
24  1985-04-05  "GL(2,3) actions on a cube"
25  1985-04-05  "Group actions on partitions" Definition and problem.
26  1985-04-28  "Generating the octad generator"
27  1985-08-22  "Symmetry invariance under M₁₂" Theorem.
28  1985-11-17  "A group bridge" Definition and problem.
29  1985-12-11  "Dynamic and algebraic compatibility of groups" Problems.
30  1986-01-11  "Geometry of partitions II" A foray into analysis.
31  1986-02-04  "Inscapes III: PG(2,4) from PG(3,2)"
32  1986-02-20  "The relativity problem in finite geometry"
33  1986-03-31  "Group topologies" Definition and problems.
34  1986-04-26  "Picturing the smallest projective 3-space"
35  1986-05-08  "A linear complex related to M₂₄"
36  1986-05-26  "The 2-subsets of a 6-set are the points of a PG(3,2)"
37  1986-06-26  "21 projective partitions" A 6-set model of PG(2,4).
38  1986-06-11  "An outer automorphism of S₆ related to M₂₄"
39  1986-07-03  "Picturing outer automorphisms of S₆"
40  1986-07-11  "Inscapes IV: Inner and outer group actions"

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