# Research Publications for 1980

## Books

**A2.**
Taylor DE**:**
*Mastering Rubik's Cube.*
Book Marketing Australia, Melbourne; Penguin, London; etc,
1980.

**A3.**
Eyland RW (ed.) and others**:**
*The Three R's in Mathematics: Rethinking, Relearning, Reviving 1980;.*
Mathematical Association of New South Wales, Sydney,
1980.

**A3.**
Eyland RW (ed.) and others**:**
*Higher School Certificate Mathematics.*
Mathematical Association of New South Wales, Sydney,
1980.

## Chapters in Books

**B1.**
Kang KM and Seneta E**:**
Path Analysis: An Exposition,
*Developments in Statistics.*
Krishnaiah PR (ed.),
**3**,
Academic Press, New York,
1980,
217–246.
MR0597900

## Journal Articles

**C1.**
Auer LB, Rees DE and Stenflo JO**:**
Resonance Line Polarization. VI. Line Transfer Calculations Including Excited State Interference.
*Astronomy and Astrophysics*,
88
(1980),
302–308.

**C1.**
Buchen PW and Haddon RAW**:**
Diffraction of a plane pulse by thin arbitrary shaped obstacles.
*Journal of the Acoustical Society of America*,
68
(1980),
309–313.
MR0576151

**C1.**
Choo KG**:**
Whitehead groups of semidirect products of free groups II.
*Glasgow Mathematical Journal*,
21
(1980),
no.1,
71–74.
MR81c:20036

**C1.**
Choo KG**:**
Whitehead groups of semidirect products of the fundamental group of a surface and free groups.
*Nanta Mathematica*,
13
(1980),
no.1,
15–18.

**C1.**
Cosgrove CM**:**
Relationships between the group-theoretic and soliton-theoretic techniques for generating stationary axisymmetric gravitational solutions.
*Journal of Mathematical Physics*,
21
(1980),
2417–2447.
MR82m:83012

**C1.**
Curtis C, Lehrer GI and Tits J**:**
Spherical buildings and the characters of the Steinberg representation.
*Inventiones Mathematicae*,
58
(1980),
201–210.
MR81f:20060

**C1.**
Dancer EN**:**
On the existence of bifurcating solutions in the presence of symmetries.
*Proceedings of the Royal Society of Edinburgh*,
Section A. Mathematics,
85A
(1980),
321–336.
MR82a:58017

**C1.**
Dancer EN**:**
An implicit function theorem with symmetries and its applications to nonlinear eigenvalue problems.
*Bulletin of the Australian Mathematical Society*,
21
(1980),
81–91.
MR81e:58021

**C1.**
Dancer EN**:**
On the structure of solutions of an equation in chemical catalysis theory when a parameter is large.
*Journal of Differential Equations*,
37
(1980),
404–437.
MR82b:35018

**C1.**
Dimca A**:**
On the Boardman symbol of a map germ.
*Revue Roumaine de Mathématiques Pures et Appliquées*,
25
(1980),
203–208.
MR81i:58014

**C1.**
Dufton PL, Durrant AC and Durrant CJ**:**
The determination of microturbulent velocities in early-type stars.
*Astronomy and Astrophysics*,
97
(1980),
10–15.

**C1.**
Durrant CJ**:**
Some more effects of waves on spectral line analysis.
*Astronomy and Astrophysics*,
89
(1980),
80–87.

**C1.**
Durrant CJ**:**
Small-scale velocity fields and mean line profiles.
*Astronomy and Astrophysics*,
91
(1980),
251–253.

**C1.**
Durrant CJ and Nesis A**:**
Vertical structure of the solar photosphere.
95
(1980),
221–228.

**C1.**
Field MJ**:**
Equivariant dynamical systems.
*Transactions of the American Mathematical Society*,
259
(1980),
no.1,
185–205.
MR82i:58037

**C1.**
Foltz F, Kelly GM and Lair C**:**
Algebraic categories with few monoidal biclosed structures or none.
*Journal of Pure and Applied Algebra*,
17
(1980),
171–177.
MR82f:18009

**C1.**
Fraser WB**:**
Separable equations for a cylindrical anisotropic elastic waveguide.
*Journal of Sound and Vibration*,
72
(1980),
151–157.

**C1.**
Gagen TM**:**
Some finite solvable groups with no outer automorphisms.
*Journal of Algebra*,
65
(1980),
84–94.
MR82b:20035

**C1.**
Gibson WG**:**
Quantum-mechanical third virial coefficient for hard spheres. Application of two-point Padé approximant.
*Molecular Physics*,
40
(1980),
237–239.

**C1.**
Hannah J, Richardson JS and Zeleznikow J**:**
Completely semisimple ring semigroups.
*Journal of the Australian Mathematical Society*,
(Series A),
30
(1980),
150–156.
MR82c:20114

**C1.**
Hillman JA**:**
Trivializing ribbon links by Kirby moves.
*Bulletin of the Australian Mathematical Society*,
21
(1980),
21–28.
MR80d:57005

**C1.**
Hillman JA**:**
Orientability, asphericity and two-knots.
*Houston Journal of Mathematics*,
6
(1980),
67–76.
MR81f:57017

**C1.**
Hillman JA**:**
Spanning links by non-orientable surfaces.
*The Quarterly Journal of Mathematics. Oxford*,
Second Series,
31
(1980),
169–179.
MR81f:57002

**C1.**
Howlett RB**:**
Normalizers of parabolic subgroups of reflection groups.
*Journal of the London Mathematical Society*,
Second Series,
21
(1980),
62–80.
MR80b:20094

**C1.**
Howlett RB and Kilmoyer RW**:**
Principal series representations of finite groups with split \(BN\) pairs.
*Communications in Algebra*,
8
(1980),
543–583.
MR81d:20009

**C1.**
Howlett RB and Lehrer GI**:**
Induced cuspidal representations and generalised Hecke rings.
*Inventiones Mathematicae*,
58
(1980),
37–64.
MR81j:20017

**C1.**
Hutchinson TP**:**
An easy method of calculating approximate recurrence risks using a multifactorial model of disease transmission.
*Annals of Human Genetics*,
43
(1980),
285–293.
MR81j:92020

**C1.**
Hutchinson TP**:**
The definition of restraint effectiveness.
*Accident Analysis and Prevention*,
12
(1980),
81–93.

**C1.**
Hutchinson TP**:**
Approximating a trivariate normal probability that is of special relevance to the multifactorial model of disease transmission.
*Annals of Human Genetics*,
44
(1980),
107–111.
MR82b:62059

**C1.**
Hutchinson TP**:**
An assessment of the usefulness of route advice given by British Rail to passengers.
*Journal of Consumer Studies and Home Economics*,
4
(1980),
135–150.

**C1.**
Hutchinson TP**:**
Partial knowledge and the theoretical basis of linear corrections for guessing.
*Contemporary Educational Psychology*,
5
(1980),
227–231.

**C1.**
Hutchinson TP and Haslegrave CM**:**
Determination of patterns of human body measurements by use of partial correlations.
*Ergonomics*,
23
(1980),
475–483.

**C1.**
Kelly GM**:**
Examples of non-monadic structures on categories.
*Journal of Pure and Applied Algebra*,
18
(1980),
59–66.
MR82e:18013

**C1.**
Kelly GM**:**
A unified treatment of transfinite constructions for free algebras, free monoids, colimits, associated sheaves, and so on.
*Bulletin of the Australian Mathematical Society*,
22
(1980),
1–83.
MR82h:18003

**C1.**
Kelly GM and Laplaza ML**:**
Coherence for compact closed categories.
*Journal of Pure and Applied Algebra*,
19
(1980),
193–213.
MR81m:18008

**C1.**
Kuo TC**:**
On an O.D.E. Problem in Equisingularities.
*Annales Polonici Mathematici*,
48
(1980),
75–85.

**C1.**
Kuo TC**:**
Modified Analytic Equivalence of Singularities.
*Journal of the Mathematical Society of Japan*,
31
(1980),
605–614.
MR82d:58012

**C1.**
Kuo TC and Lu YC**:**
Sufficiency of Jets via Stratification.
*Inventiones Mathematicae*,
57
(1980),
219–226.
MR81h:58015

**C1.**
Lai KF**:**
On a conjecture on elliptic curve.
*Applied Mathematics and Computation*,
1
(1980),
13–27.

**C1.**
Lai KF**:**
Linear algebraic groups.
*Acta Scientiarum Naturalium Universitatis Sunyatseni*,
60
(1980),
94–110.

**C1.**
Lai KF**:**
Compactification of homogeneous space.
*Acta Hangzhou Normal College*,
(1980),
32–35.

**C1.**
Lai KF**:**
Tamagawa number of reductive algebraic groups.
*Compositio Mathematica*,
41
(1980),
153–188.
MR82d:20043

**C1.**
Quine MP**:**
Three limit theorems for scores based on occupancy numbers.
*The Annals of Probability*,
8
(1980),
148–156.
MR81b:60024

**C1.**
Robinson J**:**
An asymptotic expansion for permutation tests with several samples.
*The Annals of Statistics*,
8
(1980),
851–864.
MR82e:60042

**C1.**
Seneta E**:**
Another look at independence of hitting place and time for the simple random walk.
*Stochastic Processes and their Applications*,
10
(1980),
101–104.
MR82f:60158

**C1.**
Seneta E**:**
Computing the stationary distribution for infinite Markov chains.
*Linear Algebra and its Applications*,
34
(1980),
259–267.
MR82a:60103

**C1.**
Szabo P**:**
Optimization of Quantitative X-ray Diffraction Analysis.
*Journal of Applied Crystallography*,
13
(1980),
479–485.

**C1.**
Szabo P, Gonzalez-Arias A and Szabo P**:**
Substitutional Disorder Diffraction and Domain Size.
*Acta Crystallographica. Section A: Foundations of Crystallography*,
A 36
(1980),
83–88.

**C1.**
Szabo P and Szabo P**:**
Remarks on the Theory of Disorder Diffraction.
*Phys. Stat. Sol.*,
B 101
(1980),
K 135–137.

**C1.**
Wall GE**:**
Conjugacy classes in projective and special linear groups.
*Bulletin of the Australian Mathematical Society*,
22
(1980),
339–364.
MR82d:20041

**C1.**
Weber NC**:**
Rates of convergence for \(U\)-statistics with varying kernels.
*Bulletin of the Australian Mathematical Society*,
21
(1980),
1–5.
MR82c:60046

**C1.**
Weber NC**:**
A martingale approach to central limit theorems for exchangeable random variables.
*Journal of Applied Probability*,
17
(1980),
662–673.
MR81m:60042

## Conference Proceedings

**E1.**
Cannon JJ
(1980)
Effective procedures for the recognition of primitive groups.
*Proceedings of Symposia in Pure Mathematics*,
**37**,
487–493.
MR0604626

**E1.**
Cannon JJ
(1980)
Software tools for group theory.
*Proceedings of Symposia in Pure Mathematics*,
**37**,
495–502.
MR0604627

**E1.**
Cosgrove CM
(1980)
Stationary axisymmetric gravitational fields: an asymptotic flatness preserving transformation.
Edwards C (ed.) ,
Lecture Notes in Physics,
Springer-Verlag, Berlin,
**124**,
444–453.
MR0589584

**E1.**
Crossman RG and Fackerell ED
(1980)
Electrovac perturbations of rotating black holes.
*Gravitational Radiation, Collapsed Objects and Exact Solutions*,
Edwards C (ed.) ,
Lecture Notes Physics,
Springer-Verlag, Berlin,
**124**,
311–328.

**E1.**
Hutchinson TP and Lai PW
(1980)
Experience with the use of the program CATLIN in analysing categorical data, with examples from road accident studies.
*COMPSTAT 1980, Proceedings in Computational Statistics*,
Barritt MM, Wishart D eds (ed.) ,
Physica-Verlag, Wien,
515–522.

**E1.**
Lai KF
(1980)
Conjugation of Canonical Models.
*Proceedings of the SEAMS Conference*,
24–25.

**E1.**
Rees DE
(1980)
Coronal Magnetic Fields and Forbidden Emission Line Polarization.
*Proceedings of the Japan-France Seminar on Solar Physics*,
Moriyama F, Henoux JC eds (ed.) ,
125–128.

**E1.**
Zlotnicki J, Hutchinson TP and Kendall DL
(1980)
Some problems and prospects with commercial vehicle safety, illustrated by case reports of accidents involving ergonomic factors.
*Human Factors in Transport Research*,
Oborne DJ, Levis JA eds (ed.) ,
Academic Press, London,
**1**,
151–159.

**E3.**
Rees DE
(1980)
Scattering Polarization in Solar Resonance Lines.
*Discussion Meeting on Solar-Terrestrial Physics. La Trobe University*,
Cole KD (ed.) ,
24.

**E3.**
Rees DE
(1980)
Emission Line Polarization and Coronal Magnetic Fields.
*Discussion Meeting on Solar-Terrestrial Physics La Trobe University*,
Cole KD (ed.) ,
55.

## Other Output

**OT.**
Lehrer GI
(1980)
Characters and the Jordan decomposition in reductive groups over finite fields.
(Warwick University)

## Unpublished Conference Proceedings

**UN.**
Gibson WG
Two-point Padé approximants and the virial coefficients for a quantum gas of hard spheres.
*Australian Mathematical Society Applied Mathematics Conference, Cowes (February, 1980)*
.

**UN.**
Rees DE
Green Line Polarization Measurements and Coronal Magnetic Fields.
*First Solar Maximum Mission Satellite Workshop, Charlottesville, Virginia (May 1980)*
.