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

[31] The discrete Heisenberg group and its automorphism group
Osipov, D. V.
MATHEMATICAL NOTES, 2015, 98 (1-2) : 185 - 188
[32] The automorphism group of a multi-GGS group
Petschick, Jan Moritz
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024, 23 (14)
[33] The discrete Heisenberg group and its automorphism group
D. V. Osipov
Mathematical Notes, 2015, 98 : 185 - 188
[34] THE AUTOMORPHISM GROUP OF COMMUTING GRAPH OF A FINITE GROUP
Mirzargar, Mahsa
Pach, Peter P.
Ashrafi, A. R.
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2014, 51 (04) : 1145 - 1153
[35] Representing the automorphism group of an almost crystallographic group
Igodt, P
Malfait, W
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 124 (02) : 331 - 340
[36] The full automorphism group of a cyclic p-gonal surface
Wootton, A.
JOURNAL OF ALGEBRA, 2007, 312 (01) : 377 - 396
[37] The automorphism group of a split metacyclic p-group. (vol 87, pg 488, 2006)
Bidwell, J. N. S.
Curran, M. J.
ARCHIV DER MATHEMATIK, 2009, 92 (01) : 14 - 18
[38] The order of automorphism group of some families p-groups
Wang, Y
Zhang, XZ
Ban, GN
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2003, : 162 - 167
[39] On a presentation of the automorphism group of a partially commutative metabelian group
E. I. Timoshenko
Mathematical Notes, 2015, 97 : 275 - 283
[40] On a presentation of the automorphism group of a partially commutative metabelian group
Timoshenko, E. I.
MATHEMATICAL NOTES, 2015, 97 (1-2) : 275 - 283

← 1 2 3 4 5 →