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Around Burnside (Paperback, Softcover reprint of the original 1st ed. 1990)
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Around Burnside (Paperback, Softcover reprint of the original 1st ed. 1990)
Series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 20
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Perhaps it is not inappropriate for me to begin with the comment
that this book has been an interesting challenge to the translator.
It is most unusual, in a text of this type, in that the style is
racy, with many literary allusions and witticisms: not the easiest
to translate, but a source of inspiration to continue through
material that could daunt by its combinatorial complexity.
Moreover, there have been many changes to the text during the
translating period, reflecting the ferment that the subject of the
restricted Burnside problem is passing through at present. I concur
with Professor Kostrikin's "Note in Proof', where he describes the
book as fortunate. I would put it slightly differently: its
appearance has surely been partly instrumental in inspiring much
endeavour, including such things as the paper of A. I. Adian and A.
A. Razborov producing the first published recursive upper bound for
the order of the universal finite group B(d,p) of prime exponent
(the English version contains a different treatment of this result,
due to E. I. Zel'manov); M. R. Vaughan-Lee's new approach to the
subject; and finally, the crowning achievement of Zel'manov in
establishing RBP for all prime-power exponents, thereby (via the
classification theorem for finite simple groups and Hall-Higman)
settling it for all exponents. The book is encyclopaedic in its
coverage of facts and problems on RBP, and will continue to have an
important influence in the area.
General
Imprint: |
Springer-Verlag
|
Country of origin: |
Germany |
Series: |
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 20 |
Release date: |
September 2014 |
First published: |
1990 |
Authors: |
A.I. Kostrikin
|
Translators: |
James Wiegold
|
Dimensions: |
242 x 170 x 13mm (L x W x T) |
Format: |
Paperback
|
Pages: |
222 |
Edition: |
Softcover reprint of the original 1st ed. 1990 |
ISBN-13: |
978-3-642-74326-9 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
Groups & group theory
|
LSN: |
3-642-74326-9 |
Barcode: |
9783642743269 |
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