A lower bound on the number of finite simple groups
Let S(n)=|{m<n: there is a (non-cyclic) simple group of order m}|. Investigation of known families of simple groups provides the lower bound S(n)≫n1/4/logn.
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| Format: | Article |
| Language: | English |
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Wiley
1980-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171280000592 |
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| _version_ | 1832565519875571712 |
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| author | Michael E. Mays |
| author_facet | Michael E. Mays |
| author_sort | Michael E. Mays |
| collection | DOAJ |
| description | Let S(n)=|{m<n: there is a (non-cyclic) simple group of order m}|. Investigation of known families of simple groups provides the lower bound S(n)≫n1/4/logn. |
| format | Article |
| id | doaj-art-96f4d3aec7c1486eb738b03d5cc28e4a |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1980-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-96f4d3aec7c1486eb738b03d5cc28e4a2025-02-03T01:07:27ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251980-01-013479779910.1155/S0161171280000592A lower bound on the number of finite simple groupsMichael E. Mays0Department of Mathematics, West Virginia University, Morgantown 26506, West Virginia, USALet S(n)=|{m<n: there is a (non-cyclic) simple group of order m}|. Investigation of known families of simple groups provides the lower bound S(n)≫n1/4/logn.http://dx.doi.org/10.1155/S0161171280000592simple groupasymptotic formula. |
| spellingShingle | Michael E. Mays A lower bound on the number of finite simple groups International Journal of Mathematics and Mathematical Sciences simple group asymptotic formula. |
| title | A lower bound on the number of finite simple groups |
| title_full | A lower bound on the number of finite simple groups |
| title_fullStr | A lower bound on the number of finite simple groups |
| title_full_unstemmed | A lower bound on the number of finite simple groups |
| title_short | A lower bound on the number of finite simple groups |
| title_sort | lower bound on the number of finite simple groups |
| topic | simple group asymptotic formula. |
| url | http://dx.doi.org/10.1155/S0161171280000592 |
| work_keys_str_mv | AT michaelemays alowerboundonthenumberoffinitesimplegroups AT michaelemays lowerboundonthenumberoffinitesimplegroups |