Automorphism groups of finite p-groups of coclass 2

被引：9

作者：

Fouladi, S. ^{[1
]}

Jamali, A. R. ^{[1
]}

Orfi, R. ^{[1
]}

机构：

[1] Univ Teacher Educ, Fac Math, Tehran 15618, Iran

来源：

JOURNAL OF GROUP THEORY | 2007年 / 10卷 / 04期

关键词：

D O I：

10.1515/JGT.2007.036

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that if G is a finite p-group of coclass 2, then the order of G divides the order of the autornorphism group of G.

引用

页码：437 / 440

页数：4

共 9 条

[1] AUTOMORPHISMS OF A P-GROUP [J].

ADNEY, JE ;

YEN, T .

ILLINOIS JOURNAL OF MATHEMATICS, 1965, 9 (01) :137-&

[2] ON A SPECIAL CLASS OF P-GROUPS [J].

BLACKBURN, N .

ACTA MATHEMATICA, 1958, 100 (1-2) :45-92

[3] ON THE AUTOMORPHISM GROUP OF A FINITE P-GROUP WITH A SMALL CENTRAL QUOTIENT [J].

DAVITT, RM .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1980, 32 (05) :1168-1176

[4] Automorphism groups of 2-groups [J].

Eick, Bettina .

JOURNAL OF ALGEBRA, 2006, 300 (01) :91-101

[5] A NOTE ON AUTOMORPHISM GROUP OF A RHO-GROUP [J].

FAUDREE, R .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1968, 19 (06) :1379-&

[6] NICHTABELSCHE P-GRUPPEN BESITZEN AUSSERE P-AUTOMORPHISMEN [J].

GASCHUTZ, W .

JOURNAL OF ALGEBRA, 1966, 4 (01) :1-&

[7]

Gavioli N., 1993, P ROY IRISH ACAD A, V93, P177

[8] CENTRAL AUTOMORPHISMS OF A FINITE P-GROUP [J].

OTTO, AD .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1966, 125 (02) :280-&

[9]

Suzuki M., 1986, Group Theory, V2

← 1 →