# 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. MR2301438

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) .