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] THE AUTOMORPHISM GROUP OF A FINITE MINIMAL NON-ABELIAN p-GROUP
Fouladi, S.
Orfi, R.
MATHEMATICAL REPORTS, 2014, 16 (01): : 133 - 139
[2] 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
[3] The automorphism group of a nonsplit metacyclic p-group
Curran, M. J.
ARCHIV DER MATHEMATIK, 2008, 90 (06) : 483 - 489
[4] The automorphism group of a nonsplit metacyclic p-group
M. J. Curran
Archiv der Mathematik, 2008, 90 : 483 - 489
[5] Cleanness of the Group Ring of an Abelian p-Group over a Commutative Ring
Wang, Xiulan
You, Hong
ALGEBRA COLLOQUIUM, 2012, 19 (03) : 539 - 544
[6] The automorphism group of a finitely generated virtually abelian group
Eick, Bettina
GROUPS COMPLEXITY CRYPTOLOGY, 2016, 8 (01) : 35 - 45
[7] Corrigendum to “The automorphism group of a split metacyclic p-group”. [Arch. Math 87 (2006) 488–497]
J. N. S. Bidwell
M. J. Curran
Archiv der Mathematik, 2009, 92 : 14 - 18
[8] On Determinability of a Quotient Divisible Abelian Group of Rank 1 by Its Automorphism Group
Vildanov, Vadim K.
Timoshenko, Egor A.
JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2019, 12 (06): : 699 - 704
[9] Construction of block designs admitting an Abelian automorphism group
Crnkovic, D
Rukavina, S
METRIKA, 2005, 62 (2-3) : 175 - 183
[10] Involutions of the automorphism group of a completely decomposable finite-rank Abelian group
Timoshenko, Egor A.
Tretyakov, Ivan, V
VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS, 2023, (86): : 167 - 175

← 1 2 3 4 5 →