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Characterizing a family of elusive permutation groups
| Content Provider | Scilit |
|---|---|
| Author | Giudici, Michael Kelly, Shane |
| Copyright Year | 2008 |
| Abstract | A finite transitive permutation group is said to be elusive if it has no fixed-point free elements of prime order. In this paper we show that all elusive groups G = N ⋊ G 1 with N an elementary abelian minimal normal subgroup and G 1 cyclic, can be constructed from transitive subgroups of AGL(1, p 2), for p a Mersenne prime, acting on the set of p(p + 1) lines of the affine plane AG(2, p). |
| Related Links | http://www.degruyter.com/downloadpdf/j/jgth.2009.12.issue-1/jgt.2008.063/jgt.2008.063.xml |
| ISSN | 14335883 |
| e-ISSN | 14354446 |
| DOI | 10.1515/jgt.2008.063 |
| Journal | Journal of Group Theory |
| Issue Number | 1 |
| Volume Number | 12 |
| Language | English |
| Publisher | Walter de Gruyter GmbH |
| Publisher Date | 2008-11-06 |
| Access Restriction | Open |
| Subject Keyword | Journal of Group Theory Logic Elusive Permutation Finite Transitive Groups A Finite Permutation Group Prime Said Transitive Permutation Journal: Journal of Group Theory, Vol- 12 |
| Content Type | Text |
| Resource Type | Article |
| Subject | Algebra and Number Theory |