ENGLISH

The Primitive Soluble Permutation Groups of Degree less than 256

By Mark W. Short (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1992
ISBN
3540555013, 9783540555018, 0387555013
DOI
10.1007/BFb0090195
LCC
QA3 .L28 no. 1519,QA175 .L28 no. 1519
Open Library ID
OL1711528M
Language
english
Format
DJVU
Filesize
902 kB (923808 bytes)
Series
Lecture Notes in Mathematics 1519
Edition
1
Pages
151\159
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11
Group Theory and Generalizations

Description

This monograph addresses the problem of describing all primitive soluble permutation groups of a given degree, with particular reference to those degrees less than 256. The theory is presented in detail and in a new way using modern terminology. A description is obtained for the primitive soluble permutation groups of prime-squared degree and a partial description obtained for prime-cubed degree. These descriptions are easily converted to algorithms for enumerating appropriate representatives of the groups. The descriptions for degrees 34 (die vier hochgestellt, Sonderzeichen) and 26 (die sechs hochgestellt, Sonderzeichen) are obtained partly by theory and partly by machine, using the software system Cayley. The material is appropriate for people interested in soluble groups who also have some familiarity with the basic techniques of representation theory. This work complements the substantial work already done on insoluble primitive permutation groups.

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