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COMPUTATIONAL PROBLEMS IN ABSTRACT ALGEBRA.

COMPUTATIONAL PROBLEMS IN ABSTRACT ALGEBRA.

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.,.<br />

Vlll Foreword<br />

could ever be, Mr. C. L. Roberts and the staff of the Atlas Laboratory<br />

Administration Group ensured that the mechanics went without a hitch<br />

and the whole of the general organization was carried out with great<br />

efficiency by Miss Synolda Butler. I am most grateful to them all, and to<br />

Pergamon Press for undertaking the publication of the Proceedings: and<br />

finally, to Mr. John Leech for so willingly agreeing to be Editor.<br />

J. HOWLETT<br />

Preface<br />

DR. HOWLETT has described the genesis of the Conference; here I need<br />

only describe the compilation of this volume of Proceedings. Speakers at<br />

the Conference were invited to deliver manuscripts at or soon after the<br />

Conference, and this volume is based on these manuscripts, substantially<br />

as received. Most authors prepared their papers without reference to the<br />

papers of other authors. This has the result that their notation is not uniform<br />

and there are overlaps; no attempt has been made to coordinate<br />

papers in this respect. So each paper is a substantially independent account<br />

of its topics, and is capable of being read without reference to other<br />

papers. Readers may find it an advantage to have different authors’<br />

accounts where these overlap. A disadvantage, however, is that crossreferences<br />

between papers in this volume are far from complete; the<br />

reader of a paper may check which other papers in the volume are also<br />

relevant.<br />

The sequence of papers in this volume is based on that of the lectures<br />

at the Conference, with minor changes; the large body of papers on group<br />

theory are placed first, beginning with Dr. Neubtiser’s comprehensive<br />

survey, and subsequent papers are placed in roughly the order of distance<br />

of the subject from group theory. To complete the record of the Conference,<br />

I add that Mr. M. J. T. Guy and Professors D. G. Higman, W. 0. J.<br />

Moser, T. S. Motzkin and J. L. Selfridge also delivered lectures at the<br />

Conference, but did not submit manuscripts for publication; this accounts<br />

for a few allusions to topics absent from this volume. The correspondence<br />

between the subject matter of the other lectures and the present papers is<br />

not always close. Professor Mendelsohn’s first paper is based on points<br />

made in discussion and not on a lecture of his own, while the paper by<br />

Professors Krause and Weston was not presented at the Conference.<br />

A bibliography on applications of computers to problems on algebra was<br />

prepared by Dr. D&es and distributed at the Conference; this is not<br />

reproduced here as all relevant items have been included by Dr. Neubtiser<br />

in the bibliography to his survey paper.<br />

The editorial policy has been that the subject matter and style of papers<br />

are wholly the responsibility of the authors. Editing has been confined to<br />

points of typography, uniformity of style of references, divisions ofpapers,<br />

etc., and, at the request of certain authors whose native language is not<br />

English, some minor changes of wording. (This is a refined way of saying<br />

that I have done as little as I could get away with.)<br />

ix

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