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Linear Groups Professor P OF THE AMERICAN MATHEMATICAL SOCIETY Edited by Everett Pitcher and Gordon L. Walker CONTENTS MEETINGS Calendar of Meetings . 490 Program for the April Meeting in Madison, Wisconsin. 491 Abstracts for the Meeting- Pages 521-549 Program for the April Meeting in Davis, California. 504 Abstracts for the Meeting- Pages 550-557 PRELIMINARY ANNOUNCEMENTS OF MEETINGS 508 SUMMER INSTITUTES AND GRADUATE COURSES 510 VISITING MATHEMATICIANS. 512 ACTIVITIES OF OTHER ASSOCIATIONS. 513 PERSONAL ITEMS ..... , .................................... 513 NEW AMS PUBLICATIONS ....... , . 514 NEWS ITEMS AND ANNOUNCEMENTS .................... 503, 512, 514, 515 ABSTRACTS OF CONTRIBUTED PAPERS ........................... 518 ERRATA . 585 INDEX TO ADVERTISERS . 600 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 cJ{oti.t:a) 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• 676 June 20, 1970 Tacoma, Washington Apr. 30, 1970 677 August 24-28, 1970 Laramie, Wyoming June 30, 1970 (75th Summer Meeting) 678 October 31, 1970 Washington, D. C. Sept. 10, 1970 679 November 20-21, 1970 Athens, Georgia Oct. 6, 1970 680 November 21, 1970 Pas adena, California Oct. 6, 1970 681 November 28, 1970 Urbana, Illinois Oct. 6, 1970 682 January 21-25, 1971 Atlantic City, New Jersey Nov. 5, 1970 (77th Annual Meeting) 683 March 26-27, 1971 Chicago, Illinois April 7-10, 1971 New York, New York *The abstracts of papers to be presented 0 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 deadliQEl§ for by-title abstracts will be April23, 1970 and June 23, 1970. OTHER EVENTS September 1- 10, 1970 International Congress of Mathematicians Nice, France The cJioUceiJ of the American Mathematical Society is published by the American Mathematical Society, 321 South Main Street, P. 0. Bol< 6248, Providence, Rhode Island 02904 in January, February, April, June, August, October, November and December. Price per annual volume .is $10.00. Price per copy $3.00. 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. 0. Bol< 6248, Providence, Rhode Island 02904. Second class postage paid at Providence, Rhode Island, and additional mailing offices. Copyright© 1970 by the American Mathematical Society Printed in the United States of America 490 Six Hundred Seventy-Fourth Meeting Wisconsin Center Madison, Wisconsin April14-18, 1970 The six hundred seventy-fourth on Saturday morning, April 18, will be on meeting of the American Mathematical the subject of Geometric Topology and has Society will be held at the Wisconsin been arranged by Professor James M. Center of the University of Wisconsin, Kister of the University of Michigan. The Madison, Wisconsin, on April14-l8, 1970, speakers will be James W. Cannon, in conjunction with the 19 70 spring meeting Jerome Dancis, Richard K. Lashof, Ewing of the Association for Symbolic Logic. An L. Lusk, RichardT. Miller, and Laurence announcement of the ASL program appears C. Siebenmann. The third special session, on page 513 of these c}/otiai). All sessions on the subject of Qualitative Theory for will be held in the meeting rooms of the Functional and Differential Equations, to Wisconsin Center. be held on both morning and afternoon of By invitation of the Committee to Saturday, April 18, has been arranged by Select Hour Speakers for Western Sec­ Professor John A. Nohel of the University tional Meetings there will be four one­ of Wisconsin and the speakers will be hour addresses. Professor Jack E. Mc­ Fred G. Brauer, Charles C. Conley, Neil Laughlin of the University of Michigan will H. Fenichel, Jacob J. Levin, Richard P. speak on Friday, April 17,at ll:OO a.m.; McGehee, Kenneth R. Meyer, Paul H. his topic will be "Finite groups generated Rabinowitz, Joel W. Robbin, Aaron S. by transvections." Professor Kurt Mahler Strauss, and James A. Yorke. of the Ohio State University will address There will be sessions for contribu­ the Society on Friday, April 17, at 1:45 p.m.; ted papers on April 17-18, 1970. Some his subject will be "Geometry of numbers provision will be made for late papers if of convex bodies." Professor Lee A. Rubel necessary. of the University of Illinois will speak on Saturday, April 18, at 11:00 a.m.; his talk SYMPOSIUM ON REPRESENTATION will be entitled "Bounded convergence of THEORY OF FINITE GROUPS analytic functions." Professor Morton L. In l)onor of Professor Richard Curtis of Rice University and the Univer­ Brauer of Harvard University there will sity of California, Berkeley, will address be a symposium on Representation Theory the Society on Saturday, April 18, at 1:45 of Finite Groups and Related Topics on p.m.; his topic will be "Finite-dimensional April 14-16. This Symposium has been H-spaces." All four addresses will be made possible by an anticipated grant presented in the auditorium of the Wiscon­ from the National Science Foundation. sin Center. The topic was chosen by the Committee By invitation of the same committee, to Select Hour Speakers for Western there will be three special sessions of se­ Sectional Meetings, which consists of lected twenty-minute papers.Oneof these, Paul T. Bateman (chairman), Roger C. to be held on both morning and afternoon Lyndon, and Mark E. Mahowald. The of Friday, April 17, has been arranged by Organizing Committee of the Symposium, Professor John H. Walter of the University responsible for the planning of the program of Illinois on the subject of Finite Simple and the choice of speakers, consists of Groups. The speakers will be Jonathan L. Irving Reiner (chairman), Richard Brauer, Alperin, Michael J. Collins, George Charles W. Curtis, Walter Feit, and Glauberman, Daniel Gorenstein, Koichiro James A. Green. The speakers at the Harada, William M.Kantor, Takeshi Kondo, Symposium will be Clark Benson, Richard Michael E. O'Nan, Ernest E. Shult, W. Brauer, P. Nicholas Burgoyne, Edward T. Brian Stewart, Michio Suzuki, and John H. Cline, Samuel B. Conlon, Charles W. Walter. Another special session, to be held 491 Curtis, Everett C. Dade, Larry L. Dorn­ MADISON INN, one block from the Wiscon­ hoff, Andreas W. M. Dress, Paul Fong, sin Center, Patrick X. Gallagher, David M. Gold­ 601 Langdon Street schmidt, James A. Green, Donald G. Madison, Wisconsin 53703 Higman, I. Martin Isaacs, Noboru Ito, Single $12.50-$20.00 Heinz Jacobinski, Gerald J. Janusz, Twin 15.00- 28.00 Robert W. Kilmoyer, Jr., Karl Kronstein, Tsit- Yuen Lam, John H. Lindsey II, EDGEWATER HOTEL, six blocks from Donald S. Passman, William F. Reynolds, the Wisconsin Center, Klaus W. Roggenkamp, Andrei V. Roiter, 666 Wisconsin Avenue Leonard L. Scott, Jr., Louis Solomon, Madison, Wisconsin 53703 Tonny A. Springer, Richard G. Swan, David Single $15.00-$19.00 B. Wales, Walter D. Wallis, Warren J. Twin 17.00- 25.00 Wong, and Hans J. Zassenhaus. In addition, the talks by Michael J. Collins, Koichiro FOOD SERVICE Harada, and Takeshi Kondo in the special The Wisconsin Center Coffee Shop session on Finite Simple Groups are to be will serve coffee, juice, and doughnuts regarded as part of the Symposium. from 9:30a.m. to ll:OOa.m.,andluncheon REGISTRATION from 11:30 a.m. to 12:30 p.m. The cafeteria in the Wisconsin The registration desk will be in the Union will serve meals at the following lobby of the Wisconsin Center. It will be times: open on Tuesday from 8:00 a.m. to 5:00 Breakfast 7:00 a.m. to 9:00a.m. p.m.; on Wednesday, Thursday, and Friday (except Saturday and Sunday) from 9:00 a.m. to 5:00 p.m.; and on Lunch 11:00 a.m. to 1:15 p.m. Saturday from 9:00 a.m. to 4:00 p.m. (from 11:45 on Saturday and ACCOMMODATIONS Sunday) Lowell Hall, a private dormitory Dinner 5:00p.m. to 6:45 p.m. one block from the Wisconsin Center, will The Wisconsin Union has other have accommodations in twin-bedded dining facilities as well. rooms for 150 of those attending the meet­ A list of nearby restaurants will be ing. The rates are $6.00 per person for a vailab1e at the registration desk in the double occupancy. A form which may be Wisconsin Center. used in mailing reservations at Lowell Hall can be found on page 488 of the TRAVEL February issue of these cNoticei). Alterna­ Madison is served by North Central, tively reservations may be made by calling Northwest Orient, and Ozark Air Lines. ( 608) 256-2621. In particular Northwest Orient Air Lines There are a number of motels and has direct flights to Madison from Chicago, hotels in the area, some of which are Detroit, Milwaukee, Minneapolis, New listed below. (A more extensive list may York, and Washington. The Milwaukee be found on page 675 of the August 1968 Road has several trains a day between issue of these cNoticei).) In making reserva­ Chicago and Madison. Badger Coach Lines tions with one of the hotels or motels has express bus service between Milwau­ listed below, participants should mention kee and Madison, while Greyhound offers that they are attending the mathematical express bus service between Chicago and meetings, since each of these places has Madison, and also a special connection reserved a block of rooms for those between O'Hare Field and Madison.
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