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November 1964 Table of Contents OF THE AMERICAN MATHEMATICAL SOCIETY VOLUME 11 I NUMBER 7 ISSUE NO. 78 NOVEMBER 19M • OF THE AMERICAN MATH EM A TICAL SOCIETY Edited by John W. Green and Gordon L. Walker CONTENTS MEETINGS Calendar of Meetings ••••.••••••.••••••••.••••.•.•.••••••• 712 Program of the November Meeting in Los Angeles, California .••.•••..• 713 Abstracts for the Meeting - pages 741-74 7 Program of the November Meeting in Athens, Georgia ••••....••••••• 716 Abstracts for the Meeting- pages 748-758 Program of the November Meeting in Evanston, Illinois •.••••••.••••• 720 Abstracts for the Meeting - pages 759-766 PRELIMINARY ANNOUNCEMENT OF MEETING ••.•••..•.•..••.••.••• 723 NATIONAL ACADEMY OF SCIENCES - NATIONAL RESEARCH COUNCIL ••.•• 726 VISITING FOREIGN MATHEMATICIANS •••••••.••••••••••••••.••••• 728 NEW AMS PUBLICATIONS... • . • • • • . • • • • • • . • • • • • • • • • • • • . • • • • • 732 PERSONAL ITEMS • • • • • • • • • • . • • • • • • • • • • • . • • • • . • . • . • • • . • • • . • 733 MEMORANDA TO MEMBERS Corporate Members • • • • • . • • • • • . • • . • • • • • • . • . • • . • . • . • • • • • • 73 7 Retired Mathematicians • • • • • • • • . • • • • • • • • • • • • • • • • • • . • • • • • • • 73 7 Summer Employment Opportunities ••••••••.••• , • • • • • • . • . • • • • • 737 The Employment Register. • • • • • • • • • • • • • • . • . • • . • • • • . • • . • • • • 737 NEWS ITEMS AND ANNOUNCEMENTS •••.•••.•.••...••••••••• 738, 740 SUPPLEMENTARY PROGRAM- Number 28 •••••.•••••••••.•.••••••• 739 ABSTRACTS OF CONTRIBUTED PAPERS.. • • • • • • • • • • • • • • • • • . • • • • • . 741 INDEX TO ABSTRACTS - Volume 11 ..••.••••..••••••••.••..•.•.•. 775 INDEX - Volume 11 •.•••••••••.••..•••.•.•..•••••••..•..•.•• 801 INDEX TO ADVERTISERS . • . • . • . • • • • • . • . • . • . • • . • • . • . • • . 810 RESERVATION FORM ••.•.••••••••.•••.••••....•••.......•..• 811 ADVANCED REGISTRATION FORM .••••..••••••••...•.•.••••.•.•. 811 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 cJVOticeiJ 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* 619 January 26-30, 1965 (71 st Annual Meeting) Denver, Colorado Dec. 2 620 February 27, 1965 New York, New York Jan, 14 April 9-10, 1965 Chicago, Illinois Feb. 24 April 12-15, 1965 New York, New York Feb. 24 April 24, 1965 Stanford, California Feb. 24 June 19, 1965 Eugene, Oregon Feb. 24 August 30 - September 3, 1965 (70th Summer Meeting) Ithaca, New York November 1b-13, 1965 Lexington, Kentucky January 24-28, 1966 (72nd Annual Meeting) Chicago, Illinois August 29 - September 2, 1966 (7lst Summer Meeting) New Brunswick, New Jersey January 24-28, 1967 (73rd Ann.ual Meeting) Houston, Texas August 28 - September 1, 1967 (72nd Summer Meeting) Toronto, Ontario, Canada August 26-30, 1968 (73rd Summer Meeting) Madison, Wisconsin * The abstracts of papers to be presented in person at the meetings must be received in the Head­ quarters Offices of the Society in Providence, Rhode Island, on or before these deadlines. The dead­ lines also apply to news items. The next two deadline dates for by title abstracts are November 25, 1964, and January 14, 1965. The cJVOticei) of the American Mathematical Society is published by the Society in January, February, April, June, August, October and November. 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, 190HopeStreet,Providence,Rhodelsland 02906. 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 mailing at the special rate of Postage provided for in section 34,40, paragraph (d). Copyright~, 1964 by the American Mathematical Society Printed in the United States ofAmerica Six Hundred Sixteenth Meeting University of Southern California Los Angeles, California November 14,1964 PROGRAM The six hundred sixteenth meeting the Registration Desk. of the American Mathematical Society Registration for the meeting will will be held on Saturday, November 14, begin at 9:00A.M. The Registration Desk 1964 at the University of Southern Cali~ will be located outside Room 133 Founders fornia in Los Angeles, California. Hall. By invitation of the Committee to There are numerous hotels and Select Hour Speakers for Far Western motels in the Los Angeles area. The near­ Sectional Meetings, an hour address will est ones to the campus are the Vagabond be presented by Professor Charles W. Motor Hotel, 3101 South Figueroa Street, Curtis of the University of Oregon. The telephone (area 213) 746-1531, and the title of the talk by Professor Curtis is Coliseum Hotel, 457 West Santa Barbara "Abstract groups of Lie type". This ad­ Avenue. dress will be given at 11:00 A.M. in Room Luncheon will be available at the 133 Founders Hall. There will be sessions Commons Cafeteria. A section will be re­ for contributed papers at 9:30A.M. and at served for people attending the meeting. 2:00 P.M. in Rooms 208 and 221 Founders The Commons building is on Childs Way, Hall. Abstracts of the papers to be pre­ just west of University Avenue. sented at these sessions appear on pages The University of Southern Califor­ 741-747 of these cJ{oticliJ. There are nia can be reached by automobile, taking cross references to the abstracts in the the Harbor Freeway to Exposition Boule­ program. For example the title of paper vard. Parking will be available on campus (1) in the program is followed by (616-5) for a fee of fifty cents. Cars should enter indicating that the abstract can be found at the m\1-in entrance which is located at under the designation 616-5 among the the corner of Exposition Boulevard and published abstracts. Late papers may be Hoover Street. The guard at the gate will added to the program. Information con­ direct motorists to the proper parking cerning late papers will be available at area. PROGRAM OF THE SESSIONS The time limit for each contributed paper is ten minutes. The contributed papers are sche­ duled at 15 minute intervals so that listeners can circulate between the different sessions. To main­ tain this schedule, the time limit will be strictly enforced. SATURDAY, 9:30A.M. General Session, Room 208, Founders Hall 9:30 - 9:40 (1) Two notes on locally Macaulay rings Professor L. J. Ratliff, Jr., University of California, Riverside (616~5) 713 9:45 - 9:55 (2) Intrinsic characterization of tangent spaces Professor H. A. Osborn, University of illinois (616-8) 10:00 - 10:10 {3) An extension of a theorem of Fenchel Professor j. R. Reay, Western Washington State College (616-14) 10:15 - 10:25 (4) Paths in polyhedra Professor V. L. Klee, University of Washington and Boeing Scientific Research Laboratories, Seattle, Washington (616-16) SATURDAY, 9:30 A.M. Session on Analysis and Applied Mathematics, Room 221, Founders Hall 9:30 - 9:40 (5) Invariant imbedding formulation for radiative transfer on general media with internal sources Dr. R. W. Preisendorfer, University of California, La jolla (616-10) 9:45 - 9:55 (6) Caratheodory's axiomatic treatment of thermodynamics. Preliminary report. Professor j. L. Cooper, California Institute of Technology (616-18) 10:00 - 10:10 (7) Integral transformations Mr. Ben johnson, 618 West Foothill Boulevard, Monrovia, California (616-4) 10:15 - 10:25 (8) Measurability theorems in the transformation theory for measure space Dr. R. W. Chaney, Western Washington State College (616-15) 10:30 - 10:40 (9) Some absolutely continuous operators. I. Preliminary report Professor P. A. Rejto, New York University ( 616-1) SATURDAY, 11:00 A.M. Invited Address, Room 133, Founders Hall Abstract groups of Lie type Professor Charles W. Curtis, University of Oregon SATURDAY, 2:00P.M. Session on Algebra and Theory of Numbers, Room 208, Founders Hall 2:00 - 2:10 ( 10) Artiads characterized Mrs. Emma Lehmer, 1180 Miller Avenue, Berkeley, California (616-17) (Introduced by Professor D. H. Lehmer) 2:15 - 2:25 (11) Cyclotomic polynomials and Wedderburn's theorem Dr. Kenneth Rogers, University of Hawaii (616-11) 2:30 - 2:40 ( 12) On a theorem concerning the greatest s-decomposition of a semigroup Professor Takayuki Tamura, University of California, Davis (616-20) 2:45 - 2:55 ( 13) A normality relation for lattices Professor R. A. Dean, California Institute of Technology, and Dr. R. L. Kruse*, Sandia Corporation, Albuquerque, New Mexico (616-12) . *For papers with more than one author, an asterisk follows the name of the author who lans to resent the paper at the meeting. 714 3:00- 3:10 ( 14) On the structure of ideals in certain universal algebras Professor Adil Yaqub, University of California, Santa Barbara (616-6) 3:15- 3:25 ( 15) The word problem and residually finite groups Dr. V. H. Dyson, Hughes Aircraft Company, Fullerton, California (616-7) SATURDAY, 2:00P.M. Session on Topology, Room 221, Founders Hall 2:00 - 2:10 (16) On a homotopy converse to the
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