书目名称 | The Primitive Soluble Permutation Groups of Degree Less than 256 |
编辑 | Mark W. Short |
视频video | |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | This monograph addresses the problem of describing allprimitive solublepermutation groups of a given degree, withparticular reference to thosedegrees less than 256. Thetheory is presented in detail and in a new way using modernterminology. A description is obtained for the primitivesoluble permutation groups of prime-squared degree andapartial description obtained for prime-cubed degree.Thesedescriptions are easily converted to algorithms forenumerating appropriate representatives of the groups. Thedescriptions for degrees 34(die vier hochgestellt,Sonderzeichen) and 26 (die sechshochgestellt,Sonderzeichen) are obtained partly by theory and partly bymachine, using the software system Cayley.The material is appropriate for people interested in solublegroups who also have somefamiliarity with the basictechniques of representation theory.Thiswork complements the substantial work already done oninsoluble primitive permutation groups. |
出版日期 | Book 1992 |
关键词 | Finite Groups; Group Theory; Permutation; Prime; Representation theory |
版次 | 1 |
doi | https://doi.org/10.1007/BFb0090195 |
isbn_softcover | 978-3-540-55501-8 |
isbn_ebook | 978-3-540-47120-2Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 1992 |