Characterization of the Chevalley group G_{۲}(۵) by the set of numbers of the same order elements
عنوان مقاله: Characterization of the Chevalley group G_{۲}(۵) by the set of numbers of the same order elements
شناسه ملی مقاله: JR_THEGR-11-1_002
منتشر شده در در سال 1401
شناسه ملی مقاله: JR_THEGR-11-1_002
منتشر شده در در سال 1401
مشخصات نویسندگان مقاله:
Maryam Jahandideh - Department of Mathematics, Mahshahr Branch, Islamic Azad University, Mahshahr, Iran.
Mohammad Reza Darafsheh - School of Mathematics, Statistics and computer Science, College of Science, University of Tehran, Tehran, Iran.
خلاصه مقاله:
Maryam Jahandideh - Department of Mathematics, Mahshahr Branch, Islamic Azad University, Mahshahr, Iran.
Mohammad Reza Darafsheh - School of Mathematics, Statistics and computer Science, College of Science, University of Tehran, Tehran, Iran.
Let G be a group and \omega(G)=\{o(g)|g\in G\} be the set of element orders of G. Let k\in\omega(G) and s_{k}=|\{g\in G|o(g)=k\}|. Let nse(G)=\{s_{k}|k\in\omega(G)\}. In this paper, we prove that if G is a group and G_{۲}(۵) is the Chevalley simple group of type G_{۲} over GF(۵) such that nse(G)=nse(G_{۲}(۵)), then G\cong G_{۲}(۵).
کلمات کلیدی: Element order, Thompson's problem, Number of the same order elements
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1309871/