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Finite Groups III (Paperback, Softcover reprint of the original 1st ed. 1982)
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Finite Groups III (Paperback, Softcover reprint of the original 1st ed. 1982)
Series: Grundlehren der mathematischen Wissenschaften, 243
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Und dann erst kommt der "Ab -ge - sa. ng\' da. /3 der nidlt kurz
und nicht zu la. ng, From "Die Meistersinger von Nurnberg," Richard
Wagner This final volume is concerned with some of the developments
of the subject in the 1960's. In attempting to determine the simple
groups, the first step was to settle the conjecture of Burnside
that groups of odd order are soluble. The proof that this
conjecture was correct is much too long and complicated for
presentation in this text, but a number of ideas in the early
stages of it led to a local theory of finite groups, so me aspects
of which are discussed in Chapter X. Much of this discussion is a
con tinuation of the theory of the transfer (see Chapter IV), but
we also introduce the generalized Fitting subgroup, which played a
basic role in characterization theorems, that is, in descriptions
of specific groups in terms of group-theoretical properties alone.
One of the earliest and most important such characterizations was
given for Zassenhaus groups; this is presented in Chapter XI.
Characterizations in terms of the centralizer of an involution are
of particular importance in view of the theorem of Brauer and
Fowler. In Chapter XII, one such theorem is given, in which the
Mathieu group 9J'l1l and PSL(3, 3) are characterized."
General
Imprint: |
Springer-Verlag
|
Country of origin: |
Germany |
Series: |
Grundlehren der mathematischen Wissenschaften, 243 |
Release date: |
December 2011 |
First published: |
1982 |
Authors: |
B Huppert
• N Blackburn
|
Dimensions: |
235 x 155 x 23mm (L x W x T) |
Format: |
Paperback
|
Pages: |
456 |
Edition: |
Softcover reprint of the original 1st ed. 1982 |
ISBN-13: |
978-3-642-67999-5 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
Groups & group theory
|
LSN: |
3-642-67999-4 |
Barcode: |
9783642679995 |
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