期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

Charaeterizability of the Group ~2D_p(3) by its Order Components,Where p≥5 is a Prime Number Not of the Form 2~m+1 被引量：1

Charaeterizability of the Group ~2D_p(3) by its Order Components,Where p≥5 is a Prime Number Not of the Form 2~m+1
原文传递
导出
摘要 The author will prove that the group ^2Dp（3） can be uniquely determined by its order components, where p ≠ 2^m ＋ 1 is a prime number, p ≥ 5. More precisely, if OC（G） denotes the set of order components of G, we will prove OC（G） = OC（^2Dp（3）） if and only if G is isomorphic to ^2Dp（3）. A main consequence of our result is the validity of Thompson＇s conjecture for the groups under consideration. The author will prove that the group ^2Dp（3） can be uniquely determined by its order components, where p ≠ 2^m ＋ 1 is a prime number, p ≥ 5. More precisely, if OC（G） denotes the set of order components of G, we will prove OC（G） = OC（^2Dp（3）） if and only if G is isomorphic to ^2Dp（3）. A main consequence of our result is the validity of Thompson＇s conjecture for the groups under consideration.
作者 M.R.DARAFSHEH
机构地区 School of Mathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2008年第7期1117-1126,共10页 数学学报（英文版）
基金 the Universtiy of Tehran
关键词 prime graph order component linear group prime graph, order component, linear group
分类号 O156 [理学—基础数学]
  • 相关文献

参考文献19

  • 1Kondratev, A. S.: On prime graph components of finite simple groups. Math. USSR Sbornik, 190(6), 787-797 (1989).
  • 2Khosravi. B., Khosravi, B., Khosravi, B.: The number of isomorphism classes of finite groups with the set of order components of C4(q). Appl. Algebra Engrg. Comm. Comput., 15, 349-359 (2005).
  • 3Khosravi, A., Khosravi, B.: r-recognizability of Bn(q) and Cn(q) where n = 2^m > 4. J. Pure Appl. Algebra, 199, 149-165 (2005).
  • 4Chen, G. Y.: A new characterization of sporadic simple groups. Algebra Colloq., 3(1), 49-58 (1996).
  • 5Chen, G. Y.: A new characterization of PSL2 (q). Southeast Asian Bull. Math., 22, 257-263 (1998).
  • 6Chen, G. Y.: 2Dn(3) (9 ≤ n = 2^m + 1 not a prime) can be characterized by its order components. J. Appl. Math. Comput., 19(1-2), 353 362 (2005).
  • 7Shi, H. Chen, G. Y.: ZDp+l(2) (5 < p = 2^m - 1) can be characterized by its order components. Kumamoto J. Math., 18, 1-8 (2005).
  • 8Iranmanesh, A., Alavii S. H., Khosravi, B.: A characterization of PSL(3, q) where q is an odd prime power. J. Pure. Appl. Algebra, 170(2-3), 243-254 (2002).
  • 9Iranmanesh, A., Alavi, S. H., Khosravi, B.: A characterization of PSL(3, q) for q = 2^n. Acta Mathematica Sinica, English Series, 18(3), 463-472 (2002).
  • 10Iranmanesh, A., Khosravi, B., Alavi, S. H.: A characterization of PSU(3, q) for q > 5. Southeast Asian Bull. Math., 26(2), 33 44 (2002).

引证文献1

二级引证文献6

Acta Mathematica Sinica,English Series
2008年 第7期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部