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

- 287 Want to read
- 19 Currently reading

Published
**1992**
by Springer-Verlag in Berlin, New York
.

Written in English

- Permutation groups.,
- Solvable groups.

**Edition Notes**

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

Statement | M.W. Short. |

Series | Lecture notes in mathematics ;, 1519, Lecture notes in mathematics (Springer-Verlag) ;, 1519. |

Classifications | |
---|---|

LC Classifications | QA3 .L28 no. 1519, QA175 .L28 no. 1519 |

The Physical Object | |

Pagination | vii, 145 p. : |

Number of Pages | 145 |

ID Numbers | |

Open Library | OL1711528M |

ISBN 10 | 3540555013, 0387555013 |

LC Control Number | 92013513 |

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 ).

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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.