New Zealand Journal M athematics Volume 33, Number 1 Published by the New Zealand Mathematical Society and Department of Mathematics ISSN 1171-6096
New Zealand Journal of Mathematics Publisher A Joint Committee of the New Zealand Mathematical Society and the Department of Mathematics.. Contact address: New Zealand Journal of Mathematics, Department of Mathematics,, Private Bag 92019, Auckland. NEW ZEALAND. Electronic mail address: nzjmath@math.auckland.ac.nz WWW location: http://www.math.auckland.ac.nz/nzjm/ Subscriptions Rates Institutions: $NZ 90.00 $US 50.00 $A 80.00 Individuals: $NZ 40.00 SUS 20.00 $A 36.00 Members of the New Zealand Mathematical Society receive the Journal at a discounted rate. Back issues for both New Zealand Journal of Mathematics and the Mathematical Chronicle are available and inquiries should be sent to the Treasurer at the address above. Exchange The New Zealand Journal of Mathematics welcomes exchange agreements. Proposals for exchange should be sent to Mr D.P. Alcorn at the address above. Publication dates of recent issues Volume 26 Number 1 April 1997 Volume 26 Number 2 October 1997 Volume 27 Number 1 April 1998 Volume 27 Number 2 October 1998 Volume 28 Number 1 April 1999 Volume 28 Number 2 October 1999 Volume 29 Number 1 April 2000 Volume 29 Number 2 October 2000 Volume 30 Number 1 April 2001 Volume 30 Number 2 October 2001 Volume 31 Number 1 April 2002 Volume 31 Number 2 October 2002 Volume 32 Number 1 April 2003 Volume 32 Number 2 October 2003 Editorial and Production Staff The Editor of the New Zealand Journal of Mathematics is Professor G.J. Martin, and he is supported by the Executive Editor Dr J.L. Schiff and Associates Dr J. An, Ms B. Fong arid Miss Min-Young Lee. Acknowledgement This Journal is produced with IM^X (LT^X 2^) and the l^x macro package of the American Mathematical Society. The assistance of Blue Sky Research, makers of Textures, is gratefully acknowledged.
New Zealand Journal M athematics Volume S3, Number 1 April 2004 Published by the New Zealand Mathematical Society and Department of Mathematics ISSN 1171-6096
New Zealand Journal of Mathematics Publisher A Joint Committee of the New Zealand Mathematical Society and the Department of Mathematics,. Contact address: New Zealand Journal of Mathematics, Department of Mathematics,, Private Bag 92019, Auckland, NEW ZEALAND. Electronic mail address: nzjmath@math.auckland.ac.nz WWW location: http://www.math.auckland.ac.nz/nzjm/ Subscriptions Rates Institutions: $NZ 90.00 $US 50.00 SA 80.00 Individuals: $NZ 40.00 $US 20.00 $A 36.00 Members of the New Zealand Mathematical Society receive the Journal at a discounted rate. Back issues for both New Zealand Journal of Mathematics and the Mathematical Chronicle are available and inquiries should be sent to the Treasurer at the address above. Exchange The New Zealand Journal of Mathematics welcomes exchange agreements. Proposals for exchange should be sent to Mr D.P. Alcorn at the address above. Publication dates of recent issues 26 Number 1 April 1997 26 Number 2 October 1997 27 Number 1 April 1998 27 Number 2 October 1998 28 Number 1 April 1999 28 Number 2 October 1999 29 Number 1 April 2000 29 Number 2 October 2000 30 Number 1 April 2001 30 Number 2 October 2001 31 Number 1 April 2002 31 Number 2 October 2002 32 Number 1 April 2003 32 Number 2 October 2003 Editorial and Production Staff The Editor of the New Zealand Journal of Mathematics is Professor G.J. Martin, and he is supported by the Executive Editor Dr J.L. Schiff and Associates Dr J. An, Ms B. Fong and Miss Min-Young Lee. Acknowledgement This Journal is produced with (I^I^K 2 ) and ^v^s-t^jx, the macro package of the American Mathematical Society. The assistance of Blue Sky Research, makers of Textures, is gratefully acknowledged.
New Zealand Journal of Mathematics VOLUME 33, Number 1 April 2004 Rank-one perturbations and transformations of centrosymmetric matrices Iyad T. A b u -J e ib... 1 A loop module of the extended affine Lie algebra of type A Marcus Emmanuel B a r n e s... 11 The 2-dimension series of the just-nonsolvable BSV group Laurent Bartholdi... 17 On a nice embedding and the Ascoli theorem Rene Bartsch...25 Separate and joint continuity of homomorphisms defined on topological groups Jiling Cao and Warren B. Moors...... 41 Asymptotic balayage in Hardy and Bergman spaces Nicholas R Dudley Ward...47 Topology of quasi-projective varieties and Lefschetz theory Christophe E y r a l... 63 Isometries on quasi-normed cones and bicompletion Sandra Oltra and Oscar V a le r o... 83 A construction of maximal partial spreads in PG(3,q), starting from AG(2,q) Sandro Rajola and Maria Scafati Tallini... 91 Some general random coincidence point theorems Naseer Shahzad... 95
Preparation and Submission of Manuscripts Research, expository or survey articles are solicited in any branch of pure or applied mathematics or mathematical statistics. Papers must be submitted in English, with a short abstract and AMS subject-classification codes, either to the Editor or to an appropriate member of the Editorial Board. Manuscripts should be submitted in typewritten form or as a LTfrpC (LM^K 2^) file by electronic mail or disk. Authors are asked to certify that their contributions have not been submitted simultaneously to any other journal. Rick Beatson University of Canterbury Christchurch, NEW ZEALAND e-mail: R.Beatson@math.canterbury.ac.nz John Butcher Auckland, NEW ZEALAND e-mail: butcher@math.auckland.ac.nz Rob Goldblatt Victoria University Wellington, NEW ZEALAND e-m ail: Rob.Goldblatt@ mcs.vuw.ac.nz Derek Holton University of Otago Dunedin, NEW ZEALAND e-mail: dholton@ maths.otago.ac.nz Ernie Kalnins University of Waikato Hamilton, NEW ZEALAND e-mail: e.kalnins waikato.ac.nz Editorial Board Gaven Martin (Editor) Auckland, NEW ZEALAND e-mail: martin@math.auckland.ac.nz Graeme Wake University of Canterbury Christchurch, NEW ZEALAND e-mail: g.wake @ math.canterbury.ac.nz Douglas Bridges University of Canterbury Christchurch, NEW ZEALAND e-m ail: d.bridges@math.canterbury.ac.nz Marston Conder Auckland, NEW ZEALAND e-mail: conder@ math.auckland.ac.nz Michael Hendy Massey University Palmerston North, NEW ZEALAND e-mail: Hendy@massey.ac.nz Vaughan Jones University of California Berkeley CA 94720, U.S.A. e-mail: vfr@math.berkeley.edu David Vere-Jones Victoria University Wellington, NEW ZEALAND e-mail: David.Vere-Jones@mcs.vuw.ac.nz