The Primitive Soluble Permutation Groups of Degree Less than 256

The Primitive Soluble Permutation Groups of Degree Less than 256 by Mark W. Short.

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 pe...

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Bibliographic Details
Main Author: Short, Mark W. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1992.
Edition:1st ed. 1992.
Series:Lecture Notes in Mathematics, 1519
Springer eBook Collection.
Subjects:
Group theory.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Background theory
  • The imprimitive soluble subgroups of GL(2, p k )
  • The normaliser of a Singer cycle of prime degree
  • The irreducible soluble subgroups of GL(2, p k )
  • Some irreducible soluble subgroups of GL(q, p k ), q>2
  • The imprimitive soluble subgroups of GL(4, 2) and GL(4, 3)
  • The primitive soluble subgroups of GL(4, p k)
  • The irreducible soluble subgroups of GL(6, 2)
  • Conclusion
  • The primitive soluble permutation groups of degree less than 256.

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