SUM OF ELEMENT ORDERS OF MAXIMAL SUBGROUPS OF THE SYMMETRIC GROUP

被引：12

作者：

Amiri, H. ^{[1
]}

Amiri, S. M. Jafarian ^{[1
]}

机构：

[1] Univ Zanjan, Dept Math, Fac Sci, Zanjan, Iran

来源：

COMMUNICATIONS IN ALGEBRA | 2012年 / 40卷 / 02期

关键词：

Element orders; Maximal subgroups; Symmetric group; FINITE-GROUPS;

D O I：

10.1080/00927872.2010.537290

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a finite group G, let psi(G) denote the sum of element orders of G. The aim of this article is to show that psi(H) < psi(A(n)) for every proper subgroup H of the symmetric group of degree n, which is different from the alternating group A(n).

引用

页码：770 / 778

页数：9

共 7 条

[1] SUM OF ELEMENT ORDERS ON FINITE GROUPS OF THE SAME ORDER [J].

Amiri, H. ;

Amiri, S. M. Jafarian .

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2011, 10 (02) :187-190

[2] SUMS OF ELEMENT ORDERS IN FINITE GROUPS [J].

Amiri, Habib ;

Amiri, S. M. Jafarian ;

Isaacs, I. M. .

COMMUNICATIONS IN ALGEBRA, 2009, 37 (09) :2978-2980

[3]

Bochert A., 1889, MATH ANN, V33, P572, DOI DOI 10.1007/BF01444034

[4]

Dixon J.D., 1996, GRADUATE TEXTS MATH, V163, DOI DOI 10.1007/978-1-4612-0731-3

[5]

Landau E., 1903, Archiv der Mathematik und Physik, V5, P92

[6] On the orders of primitive groups [J].

Maróti, A .

JOURNAL OF ALGEBRA, 2002, 258 (02) :631-640

[7]

Massias J.-P., 1984, Ann. Fac. Sci. Toulouse Math, V6, P269, DOI DOI 10.5802/AFST.612

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