Splitting the automorphism group of an abelian p-group

被引：0

作者：

Aviñó, MA ^{[1
]}

机构：

[1] New Mexico State Univ, Dept Math Sci, Las Cruces, NM 88003 USA

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2000年 / 6卷 / 02期

关键词：

abelian p-groups; endomorphism rings; automorphism group;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be an abelian p-group sum of finite homocyclic groups Gi. Hero, we determine in which cases the automorphism group of G splits over ker sigma, where sigma : Aut(G) --> Pi (i) Aut(G(i)/pG(i))is the natural epimorphism.

引用

页码：171 / 175

页数：5

共 50 条

[1] AUTOMORPHISM GROUP OF AN ABELIAN P-GROUP
HAUSEN, J
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (01): : A97 - A97
[2] Normal p-subgroups of the automorphism group of an Abelian p-group
Abraham, RP
JOURNAL OF ALGEBRA, 1998, 199 (01) : 116 - 123
[3] The maximal normal p-subgroup of the automorphism group of an Abelian p-group
Hausen, J
Schultz, P
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 126 (09) : 2525 - 2533
[4] AUTOMORPHISM GROUP OF A P-GROUP OF MAXIMAL CLASS WITH AN ABELIAN MAXIMAL SUBGROUP
BAARTMANS, A
WOEPPEL, JJ
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 22 (01): : A104 - A105
[5] THE AUTOMORPHISM GROUP OF A FINITE MINIMAL NON-ABELIAN p-GROUP
Fouladi, S.
Orfi, R.
MATHEMATICAL REPORTS, 2014, 16 (01): : 133 - 139
[6] The automorphism group of a finite p-group is almost always a p-group
Helleloid, Geir T.
Martin, Ursula
JOURNAL OF ALGEBRA, 2007, 312 (01) : 294 - 329
[7] ON THE AUTOMORPHISM GROUP OF A NILPOTENT P-GROUP
MENEGAZZO, F
STONEHEWER, SE
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1985, 31 : 272 - 276
[8] AUTOMORPHISM GROUP OF AN ABELIAN P-GROUP AND ITS NON-CENTRAL NORMAL SUBGROUPS
HAUSEN, J
JOURNAL OF ALGEBRA, 1974, 30 (1-3) : 459 - 472
[9] The automorphism group of a split metacyclic p-group
J. N. S. Bidwell
M. J. Curran
Archiv der Mathematik, 2006, 87 : 488 - 497
[10] The automorphism group of a nonsplit metacyclic p-group
Curran, M. J.
ARCHIV DER MATHEMATIK, 2008, 90 (06) : 483 - 489

← 1 2 3 4 5 →