Converse of Lagrange's theorem (CLT) numbers under $1000$
A positive integer $n$ is called a CLT number if every group of order $n$ satisfies the converse of Lagrange's Theorem. In this note, we find all CLT and supersolvable numbers up to $1000$. We also formulate some questions about the distribution of these numbers.
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University of Isfahan
2017-06-01
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| Series: | International Journal of Group Theory |
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| Online Access: | http://ijgt.ui.ac.ir/article_13314_188efd7436d4971e7d2e54f372a19e7a.pdf |
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doaj-88a8d05934804e2d88079c8babc50cb92020-11-24T23:02:35ZengUniversity of IsfahanInternational Journal of Group Theory2251-76502251-76692017-06-0162374210.22108/ijgt.2017.1331413314Converse of Lagrange's theorem (CLT) numbers under $1000$Jean B. Nganou0University of OregonA positive integer $n$ is called a CLT number if every group of order $n$ satisfies the converse of Lagrange's Theorem. In this note, we find all CLT and supersolvable numbers up to $1000$. We also formulate some questions about the distribution of these numbers.http://ijgt.ui.ac.ir/article_13314_188efd7436d4971e7d2e54f372a19e7a.pdfCLT numberSupersolvable numberGood number |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Jean B. Nganou |
| spellingShingle |
Jean B. Nganou Converse of Lagrange's theorem (CLT) numbers under $1000$ International Journal of Group Theory CLT number Supersolvable number Good number |
| author_facet |
Jean B. Nganou |
| author_sort |
Jean B. Nganou |
| title |
Converse of Lagrange's theorem (CLT) numbers under $1000$ |
| title_short |
Converse of Lagrange's theorem (CLT) numbers under $1000$ |
| title_full |
Converse of Lagrange's theorem (CLT) numbers under $1000$ |
| title_fullStr |
Converse of Lagrange's theorem (CLT) numbers under $1000$ |
| title_full_unstemmed |
Converse of Lagrange's theorem (CLT) numbers under $1000$ |
| title_sort |
converse of lagrange's theorem (clt) numbers under $1000$ |
| publisher |
University of Isfahan |
| series |
International Journal of Group Theory |
| issn |
2251-7650 2251-7669 |
| publishDate |
2017-06-01 |
| description |
A positive integer $n$ is called a CLT number if every group of order $n$ satisfies the converse of Lagrange's Theorem. In this note, we find all CLT and supersolvable numbers up to $1000$. We also formulate some questions about the distribution of these numbers. |
| topic |
CLT number Supersolvable number Good number |
| url |
http://ijgt.ui.ac.ir/article_13314_188efd7436d4971e7d2e54f372a19e7a.pdf |
| work_keys_str_mv |
AT jeanbnganou converseoflagrangestheoremcltnumbersunder1000 |
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1725636054672736256 |