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A note on the probability of generating alternating or symmetric groups
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dc.contributor.author | Morgan, Luke | |
dc.contributor.author | Roney-Dougal, Colva Mary | |
dc.date.accessioned | 2016-08-21T23:34:18Z | |
dc.date.available | 2016-08-21T23:34:18Z | |
dc.date.issued | 2015-09 | |
dc.identifier | 223509214 | |
dc.identifier | 45c65754-0e87-4df3-a991-1fc5d974ce52 | |
dc.identifier | 84940589052 | |
dc.identifier | 000360507900001 | |
dc.identifier.citation | Morgan , L & Roney-Dougal , C M 2015 , ' A note on the probability of generating alternating or symmetric groups ' , Archiv der Mathematik , vol. 105 , no. 3 , pp. 201-204 . https://doi.org/10.1007/s00013-015-0796-8 | en |
dc.identifier.issn | 0003-889X | |
dc.identifier.other | ORCID: /0000-0002-0532-3349/work/73700915 | |
dc.identifier.uri | https://hdl.handle.net/10023/9348 | |
dc.description | The research of the first author is supported by the Australian Research Council grant DP120100446. | en |
dc.description.abstract | We improve on recent estimates for the probability of generating the alternating and symmetric groups An and Sn. In particular, we find the sharp lower bound if the probability is given by a quadratic in n−1. This leads to improved bounds on the largest number h(An) such that a direct product of h(An) copies of An can be generated by two elements. | |
dc.format.extent | 4 | |
dc.format.extent | 100693 | |
dc.language.iso | eng | |
dc.relation.ispartof | Archiv der Mathematik | en |
dc.subject | Symmetric group | en |
dc.subject | Alternating group | en |
dc.subject | Generation | en |
dc.subject | Probability | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject.lcc | QA | en |
dc.title | A note on the probability of generating alternating or symmetric groups | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.contributor.institution | University of St Andrews. Centre for Interdisciplinary Research in Computational Algebra | en |
dc.identifier.doi | https://doi.org/10.1007/s00013-015-0796-8 | |
dc.description.status | Peer reviewed | en |
dc.date.embargoedUntil | 2016-08-21 |
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