OF THE AMERICAN MATHEMATICAL SOCIETY VOLUME 13, NUMBER 2 ISSUE NO. 88 FEBRUARY, 1966 cNotiaiJ OF THE AMERICAN MATHEMATICAL SOCIETY Edited by John W. Green and Gordon L. \\' alker CONTENTS MEETINGS Calendar of Meetings • • • • • . • . • • • . • . • . • • . • . • • • . • • • • . • 18 8 Program of the Meeting in New York .••••.•.••.•••• , ...•••.•.• 189 Abstracts for the Meeting - Pages 227-229. PRELIMINARY ANNOUNCEMENTS OF MEETINGS.................... 191 ACTIVITIES OF OTHER ASSOCIATIONS .•.•.•• , .•••..•••.••• , . • • . 195 LETTERS TO THE EDITOR •• ·• . • • • • • • • • • . • • . • • . • . • . • . • . • . • 196 NEWS ITEMS AND ANNOUNCEMENTS •••••••••••••• 190, 195, 197, 199,202,223 MORE ON FLIGHT ARRANGEMENTS. • • . • • • • • • • . • . • . • • . • • . • • • • . 198 MEMORANDA TO MEMBERS Other Journals Available to Members at Reduced Rates • . • . • . • • . • • • • 200 Backlog of Mathematical Research Journals •••••... , ... , . • • • • • • • 201 Corporate Members and Institutional Associates , ••••••.••••. , .•. , 202 SUMMER INSTITUTES AND GRADUATE COURSES ••••• , • • • • . • • . • • • • 203 PERSONAL ITEMS ..•..••.•...•.•.••••• , •.•••..•.. , • . • • . • . 214 SUPPLEMENTARY PROGRAM- Number 37 .•• , •.. , ••.•• , ...•••. ,.. 219 ABSTRACTS OF CONTRIBUTED PAPERS • . • . • • . • . • • . • . • . • . 224 ERRATA •.•.•.••••.••.••••••••••...••..••...•.•.•••••.•. 263 INDEX TO ADVERTISERS ••...••.••••.••.•.••• , . • • • . • . • . • • 277 RESERVATION FORMS ••••.• , • • • . • . • • • • • • • • • • • . • • • • . • • • . • • • 278 MEETINGS Calendar of Meetings NOTE: This Calendar lists all of the meetings which have been approved by the Council up to the date at which this issue of the cifot:i.tYV was sent to press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the American Mathematical Society. The meeting dates which fall rather far in the future are subject to change. This is particularly true of the meetings to which no numbers have yet been assigned. Meet- Deadline ing Date Place for No. Abstracts* 632 April 4-7, 1966 New York City Feb. 18 633 April 9, 1966 Honolulu, Hawaii Feb. 18 634 April 20-23, 1966 Chicago, Illinois Feb. 18 635 june 18, 1966 Victoria, British Columbia May 4 August 29 - September 2, 1966 (71st Summer Meeting) New Brunswick, New jersey January 24-28, 1967 (73rd Annual Meeting) Houston, Texas August 28 - September 1, 1967 (72nd Summer Meeting} Toronto, Ontario, Canada january, 1968 (74th Annual Meeting) San Francisco, California *The abstracts of papers to be presented in person at the meetings must be received in the Head­ quarters Offices of the Society iri Providence, Rhode Island, on or before these deadlines. The dead­ lines also apply to news items. The next two deadline dates for the by title abstracts are February 11, and April 21. 1966. --~ The cJioticeiJ of the American Mathematical Society is published by the Society in January, February, Apn1, June, August, October, November and December. Price per annual volume is $7.00. Price per copy $2.00. Special price for copies sold at registration desks of meetings of the Society, $1.00 per copy. Subscriptions, orders for back numbers (back issues of the last two years only are available) and inquiries should be addressed to the American Mathematical Society, P.O. Box 6248, Providence, Rhode Island 02904. Second-class postage paid at Providence, Rhode Island, and additional mailing offices. Authorization is granted under the authority of the act of August 24, 1912, as amended by the act of August 4, 1947 (Sec. 34,21, P. L. and R.). Accepted for mru1ing at the special rate of Postage provided for in section 34,40, paragraph (d). Copyright«:;>, 1966 by the American Mathematical Society Printed in the United States of America 188 Six Hundred Thirty-First Meeting· New York UDiversity Washington Square Campus New York, New York February 26, 1966 PROGRAM The six hundred thirty-first meeting the south side of Washington Square but of the American Mathematical Society will the street signs on the stretch along the be held on the Washington Square Campus square read "Washington Square South." of New York University at the Courant Subway and bus transportation may Institute of Mathematical Sciences. All conveniently be used as follows: Lexington Sessions will be in Warren Weaver Hall. A venue (Interborough) Subway (IR T)--Local By invitation of the Committee to to Astor Place Station. Walk west on Astor Select Hour Speakers for Eastern Sectional Place to Broadway, then south on Broadway Meetings, Professor W. H. J. Fuchs of to Fourth Street and west to Mercer Street. Cornell University will give an hour ad­ Seventh Avenue (Interborough) Sub­ dress in Room 109 of Warren Weaver Hall way (IRT)--Local to Sheridan Square Sta­ at Z:OO P.M. His title is "Developments in tion. Walk east on Waverly Place to Wash­ the classical Nevanlinna theory of mero­ ington Square. morphic functions." Broadway(Brooklyn-Manhattan) Sub­ There will be sessions for contrib­ way (BMT)--Brighton local or Fourth Ave­ uted papers in Room 109 of Warren Weaver nue local to Eighth Street Station. Walk Hall. There will be provision for a limited south on Broadway to Fourth Street and number of late papers. west to Mercer Street. The registration desk will be set up Sixth or Eighth A venue (Independent) in the lobby at the entrance to Warren Subway (IND)--Express to West Fourth Weaver Hall and will be open at 9:00 A.M. Street--Washington Square Station. Walk A list of restaurants near Washing­ east on West Fourth Street to Washington ton Square will be available atthe registra­ Square. tion desk. Fifth Avenue Bus--Busses numbered Warren Weaver Hall is at 251 Mer­ 3, and some numbered 5, to University cer Street, one block east of the southeast Place. Walk south and cross the square to corner of Washington Square between Third Washington Square South. Walk east to and Fourth Streets. Fourth Street borders Mercer Street. PROGRAM OF THE SESSIONS SATURDAY, 10:00 A.M. General Session, Room 109 Warren Weaver Hall 10:00 - 10:10 ( 1) Triples versus theories. Preliminary report Professor F. E. j. Linton, Wesleyan University (631-1) 10:15 - 10:25 (Z) Sample function regularity for Gaussian processes with the parameter in a Hilbert space Professor P. T. Strait, Queens College (631-Z) 189 10:30 - 10:40 (3) Extensions of I-bisimple semigroups . Professor R. j. Warne, West Virginia University (631-3) 10:45 - 10:55 (4) Orthogonal conjugacies in finite groups Professor E. j. Taft, Rutgers, The State University (631-4) 11:00 - 11:10 (5) An analytic function with limit zero along some path tangent to each radius Professor W. j. Schneider, Syracuse University (631-5) 11:15 - 11:25 (6) On the length of programs for computing finite binary sequences by bounded­ transfer Turing machines. II Mr. G. J. Chaitin, The City Coliege of the City University of New York (631-6) (Introduced by Professor Martin Davis) 11:30- 11:40 ( 7) On groups of automorphisms of Lie algebras Mr. D. j. Winter, Yale University (631-7) 11:45- 11:55 (8) A direct proof that S0(3) is homomorphic to SU(Z) Mr. F. P .·Callahan, General Electrrc Company, Philadelphia, P ennsyl­ vania (631-8) .SATURDAY, Z:OO P.M. Invited Address, Room 109 Warren Weaver Hall Developments in the classical Nevanlinna theory of meromorphic functions Professor W. H. j. Fuchs, Cornell University Everett Pitcher Bethlehem, Pennsylvania Associate Secretary NEWS ITEMS AND ANNOUNCEMENTS NEW DOCTORAL PROGRAMS NEWSLETTER FOR NUMERICAL ESTABLISHED ANALYSTS AT UNIVERSITY OF TOLEDO The ACM Special Interest Committee New doctoral programs in Mathe­ on Numerical Mathematics (SICNUM) will matics,· Applied Math,ematics, and Physics begin publication of a newsletter in order have been established at the University of to provide numerical analysts with a fast Toledo. The new programs, supported by means of communication below the journal local funds, grants from Owens-lllinoisCo.; level. The newsletter is free and will be and state funds, were approved by the Board sent upon request. The newsletter will ap­ of Regents of the State of Ohio in August, pear as frequently as there is sufficient 1965 and by the North Central Association material. in November, 1965. Areas of research in Requests to receive the newsletter, Mathematics include Algebra, Logic and material for the newsletter, and requests Foundations, Applied Mathematics· and for additional information should be sent Mathematical Physics, and Meas.tire Theory. to the Chairman of SlCNUM, Dr. J. F. Traub, Research are.as in Physics include Astro­ Bell Telephone Laboratories, Inc., Murray physics, Lunar Luminescence, Solid State Hill, New jersey. Physics, and Low Energy Nuclear Physics. 190 PRELIMINARY ANNOUNCEMENTS OF MEETINGS Six Hundred Thirty-Second Meeting Waldorf-Astoria Hotel New York, New York April4-7, 1966 The six hundred thirty-second meet­ SYMPOSIUM ON MATHEMATICAL ing of the American Mathematical Society ASPECTS OF COMPUTER SCIENCE will be held at the Waldorf-Astoria Hotelin New York on April 4-7, 1966. All sessions The Symposium will be scheduled in will be held in public rooms of the hotel. four sessions on the afternoon of Tuesday, By invitation of the Committee to April 5, on Wednesday, April 6, and on the Select Hour Speakers for Eastern Sectional morning of Thursday April 7, probably as Meetings, there will be two addresses. follows: Feit of Yale University Professor Walter Session I. .Computation with symbolic April4, at 2:00P.M. will speak on Monday, and algebraic data. The