Last edited by Malalar
Tuesday, July 28, 2020 | History

5 edition of The primitive soluble permutation groups of degree less than 256 found in the catalog.

The primitive soluble permutation groups of degree less than 256

by M. W. Short

  • 287 Want to read
  • 19 Currently reading

Published by Springer-Verlag in Berlin, New York .
Written in English

    Subjects:
  • Permutation groups.,
  • Solvable groups.

  • Edition Notes

    Includes bibliographical references (p. [135]-141) and index.

    StatementM.W. Short.
    SeriesLecture notes in mathematics ;, 1519, Lecture notes in mathematics (Springer-Verlag) ;, 1519.
    Classifications
    LC ClassificationsQA3 .L28 no. 1519, QA175 .L28 no. 1519
    The Physical Object
    Paginationvii, 145 p. :
    Number of Pages145
    ID Numbers
    Open LibraryOL1711528M
    ISBN 103540555013, 0387555013
    LC Control Number92013513

    Eick and Höfling classified the primitive soluble groups of degree less than [12], and the author and Unger classified all primitive groups of degree less than [45], as well as. M. W. Short, The Primitive Soluble Permutation Groups of Degree less than , LNM , , Springer C. C. Sims, Computational methods in the study of permutation groups, pp. of J. Leech, editor, Computational Problems in Abstract Algebra.

      The primitive soluble permutation groups of degree less than , Lecture Notes in Mathematics (Springer, Heidelberg, ). Recommend this journal Email your librarian or administrator to recommend adding this journal to your organisation's by: R. Schmidt, Subgroup Lattices of Groups, de Gruyter Expositions in Mathematics 14 (Walter de Gruyter & Co., ). Crossref, Google Scholar; M. W. Short, The primitive soluble permutation groups of degree less than , Lecture Notes in Math. (Springer-Verlag, ). Crossref, Google ScholarCited by:

    (). The primitive permutation groups of degree less than (). The primitive permutation groups of degree less than The primitive permutation groups of degree less than (). The primitive soluble permutation groups of degree less than ,Author: Hannah Jane Coutts. The thesis concludes with a note on work in progress on the irreducible soluble subgroups of GL (8,2) (that is, the primitive soluble permutation groups of degree ).


Share this book
You might also like
The Body of Christ

The Body of Christ

Lectures on fibre bundles and differential geometry

Lectures on fibre bundles and differential geometry

Discourses of Brigham Young, second president of The Church of Jesus Christ of Latter-day Saints

Discourses of Brigham Young, second president of The Church of Jesus Christ of Latter-day Saints

Report on the extension of social insurance to the self-employed

Report on the extension of social insurance to the self-employed

Give Cesar his due, or, The obligation that subjects are under to their civil rulers

Give Cesar his due, or, The obligation that subjects are under to their civil rulers

National Telecommunications and Information Administration authorization

National Telecommunications and Information Administration authorization

Boundary conditions

Boundary conditions

Computerized electronic import processing

Computerized electronic import processing

Roman York

Roman York

Feedback lecture

Feedback lecture

Making do; basic things for simple living

Making do; basic things for simple living

Evaluation of the impact response of textile composites

Evaluation of the impact response of textile composites

The primitive soluble permutation groups of degree less than 256 by M. W. Short Download PDF EPUB FB2

The Primitive Soluble Permutation Groups of Degree Less than Usually dispatched within 3 to 5 business days. This monograph addresses the problem of describing all primitive soluble permutation groups of a given degree, with particular reference to those degrees less than This monograph addresses the problem of describing all primitive soluble permutation groups of a given degree, with particular reference to those degrees less than 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. This list was implemented into GAP by Theißen, along with the primitive affine groups of degree less than (Theißen, ).

However, several groups were missing from both Dixon and Mortimer’s and Theißen’s lists. Thus since the major open problem has been to classify the primitive groups with soluble socles of degree less than File Size: KB.

The primitive soluble permutation groups of degree less than Download ( MB). link to publisher version. Statistics; Export Reference to BibTeX; Export Reference to EndNote XMLCited by: The earliest significant progress was made by Jordan, who in counted the primitive permutation groups of degree d for d lessorequalslant17 [18], and stated that a transitive group of degree 19 is A 19,S 19, or a group of affine by: This monograph addresses the problem of describing all primitive soluble permutation groups of a given degree, with particular reference to those degrees less than The theory is presented in detail and in a new way using modern : Mark W Short.

The primitive permutation groups of degree less than given in [32] are assumed to be correct without rechecking. The other main references whose accuracy has been relied upon are [ Computing the primitive permutation groups of degree less than Authors; The Primitive Soluble Permutation Groups of Degree less thanBerlin: Springer-Verlag, Unger W.R.

() Computing the primitive permutation groups of degree less than In: Bosma W., Cannon J. (eds) Discovering Mathematics with Magma. Algorithms Author: Colva M. Roney-Dougal, William R. Unger. Short, The Primitive Soluble Permutation Groups of Degree Less ThanLecture Notes in Mathematics (Springer-Verlag, Berlin, ).

Crossref, Google Scholar B. Steinberg, J. Cited by: 4. Note the large number of primitive groups of degree As Carmichael notes, all of these groups, except for the symmetric and alternating group, are subgroups of the affine group on the 4-dimensional space over the 2-element finite field.

Examples. Consider the symmetric group acting on the set = {,} and the permutation = (). Both and the group generated by are primitive. This monograph addresses the problem of describing allprimitive soluble permutation groups of a given degree, withparticular reference to those degrees less than Rating: (not yet rated) 0 with reviews - Be the first.

Cite this chapter as: Short M.W. () The irreducible soluble subgroups of GL(6, 2).In: The Primitive Soluble Permutation Groups of Degree less than Author: Mark W. Short. This list was implemented into GAP by Theißen, along with the primitive affine groups of degree less than (Theißen, ).

However, several groups were missing from both Dixon and Mortimer’s and Theißen’s lists. Thus since the major open problem has been to classify the primitive groups with soluble socles of degree less than Cited by: This monograph addresses the problem of describing allprimitive soluble permutation groups of a given degree, withparticular reference to those degrees less than The classification of the primitive permutation groups of low degree is one of the oldest problems in group theory.

The earliest significant progress was made by Jordan, who in counted the primitive permutation groups of degree d for d 17 [18], and stated that a transitive group of degree 19 is A19,S19, or a group of affine Size: KB. Mark W.

Short, The Primitive Soluble Permutation Groups of Degree less thanvolume of Lecture Notes in Math., Springer, Berlin, Heidelberg and New York, GAP 3 Manual section A manual of the Soluble Primitive Permutation Groups Library is given as section 'Irreducible Solvable Linear Groups Library' of the GAP 3 manual.

Summary: This monograph addresses the problem of describing all primitive soluble permutation groups of a given degree, with particular reference to those degrees less than The theory is presented in detail and in a new way using modern terminology.

Get this from a library. The primitive soluble permutation groups of degree less than [Mark W Short]. Cite this chapter as: Short M.W. () The imprimitive soluble subgroups of GL(4, 2) and GL(4, 3).In: The Primitive Soluble Permutation Groups of Degree less than Author: Mark W.

Short. These groups were made into a database in GAP by Thießen [37] together with the soluble affine type groups of degree less thanwhich were classified by Short [34]. Our object is to describe all of the-primitive permutation groups of degree less than together with some of their significant properties.

We think that such a list is of interest in illustrating in concrete form the kinds of primitive groups which arise, in suggesting conjectures about primitive groups, and in settling small exceptional Cited by: The primitive soluble permutation groups of degree less than M.W.

SHORT Primitive permutation groups have long been objects of interest: in Jordan [5], listed them up to degree 17 (but made a number of omissions, as pointed out by Miller in several papers from to ). In the primitive permutation groups were still only Cited by:   Short M.W. () The normaliser of a Singer cycle of prime degree.

In: The Primitive Soluble Permutation Groups of Degree less than Lecture Notes in Mathematics, vol Author: Mark W. Short.