A characterization of $L_2(81)$ by nse
Let $pi_e(G)$ be the set of element orders of a finite group $G$. Let $nse(G)={m_nmid ninpi_e(G)}$, where $m_n$ be the number of elements of order $n$ in $G$. In this paper, we prove that if $nse(G)=nse(L_2(81))$, then $Gcong L_2(81)$.
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| Format: | Article |
| Language: | English |
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University of Isfahan
2016-03-01
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| Series: | International Journal of Group Theory |
| Subjects: | |
| Online Access: | http://www.theoryofgroups.ir/article_5843_2a42ff7ced0280cc4820db4840f4709b.pdf |
| _version_ | 1811335332691443712 |
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| author | Leila Mousavi Bijan Taeri |
| author_facet | Leila Mousavi Bijan Taeri |
| author_sort | Leila Mousavi |
| collection | DOAJ |
| description | Let $pi_e(G)$ be the set of element orders of a finite group $G$. Let $nse(G)={m_nmid ninpi_e(G)}$, where $m_n$ be the number of elements of order $n$ in $G$. In this paper, we prove that if $nse(G)=nse(L_2(81))$, then $Gcong L_2(81)$. |
| first_indexed | 2024-04-13T17:22:35Z |
| format | Article |
| id | doaj.art-b872184a49a442f294dbf5481e4ed4c4 |
| institution | Directory Open Access Journal |
| issn | 2251-7650 2251-7669 |
| language | English |
| last_indexed | 2024-04-13T17:22:35Z |
| publishDate | 2016-03-01 |
| publisher | University of Isfahan |
| record_format | Article |
| series | International Journal of Group Theory |
| spelling | doaj.art-b872184a49a442f294dbf5481e4ed4c42022-12-22T02:37:56ZengUniversity of IsfahanInternational Journal of Group Theory2251-76502251-76692016-03-015129355843A characterization of $L_2(81)$ by nseLeila Mousavi0Bijan Taeri1Department of Mathematical Sciences; Isfahan University of Technology; Isfahan 84156-83111; Iran.Department of Mathematical Sciences;, Isfahan University of TechnologyLet $pi_e(G)$ be the set of element orders of a finite group $G$. Let $nse(G)={m_nmid ninpi_e(G)}$, where $m_n$ be the number of elements of order $n$ in $G$. In this paper, we prove that if $nse(G)=nse(L_2(81))$, then $Gcong L_2(81)$.http://www.theoryofgroups.ir/article_5843_2a42ff7ced0280cc4820db4840f4709b.pdfSet of the numbers of elements of the same orderorder of an elementThompson's problem |
| spellingShingle | Leila Mousavi Bijan Taeri A characterization of $L_2(81)$ by nse International Journal of Group Theory Set of the numbers of elements of the same order order of an element Thompson's problem |
| title | A characterization of $L_2(81)$ by nse |
| title_full | A characterization of $L_2(81)$ by nse |
| title_fullStr | A characterization of $L_2(81)$ by nse |
| title_full_unstemmed | A characterization of $L_2(81)$ by nse |
| title_short | A characterization of $L_2(81)$ by nse |
| title_sort | characterization of l 2 81 by nse |
| topic | Set of the numbers of elements of the same order order of an element Thompson's problem |
| url | http://www.theoryofgroups.ir/article_5843_2a42ff7ced0280cc4820db4840f4709b.pdf |
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