A Representation Theorem for the Group of Autoprojectivities of an Abelian p-Group of Finite Exponent

被引：4

作者：

Costantini, M. ^{[1
]}

Holmes, C. S. ^{[2
]}

Zacher, G. ^{[1
]}

机构：

[1] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35131 Padua, Italy

[2] Miami Univ, Dept Math & Stat, Oxford, OH 45056 USA

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 1998年 / 175卷 / 01期

关键词：

Representation Theorem; Finite Exponent;

D O I：

10.1007/BF01783678

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given the abelian p-group M = < a >circle plus < b >circle plus C, where vertical bar a vertical bar = P-n >= vertical bar b vertical bar = P-m > exp C = = p(s) > 1, set R(M) = {phi is an element of P(M)vertical bar H-phi = H, phi vertical bar Omega(s) (M) = 1}. Our main result is the existence of a well determined isomorphism of R(M) onto a well defined subgroup of Pi(n-m)(k=0) PR(p(n-k-m) Rn-k) x PR(pR(m)).

引用

页码：119 / 140

页数：22

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