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The Class of (2, 3)-Groups with Homocyclic Regulator Quotient of Exponent p 2
Date
2017-01-01
Author
Solak, Ebru
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URI
http://www.springer.com/gp/book/9783319517179
https://hdl.handle.net/11511/75230
Relation
Groups, Modules, and Model Theory - Surveys and Recent Developments
Collections
Department of Mathematics, Book / Book chapter
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THE CLASS OF (2,2)-GROUPS WITH HOMOCYCLIC REGULATOR QUOTIENT OF EXPONENT p(3) HAS BOUNDED REPRESENTATION TYPE
Arnold, David M.; Mader, Adolf; Mutzbauer, Otto; Solak, Ebru (Cambridge University Press (CUP), 2015-08-01)
The class of almost completely decomposable groups with a critical typeset of type (2,2) and a homocyclic regulator quotient of exponent p(3) is shown to be of bounded representation type. There are only 16 isomorphism at p types of indecomposables, all of rank 8 or lower.
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The class of almost completely decomposable groups with a critical typeset of type (1,3) and a homocyclic regulator quotient of exponent p(4) is shown to be of bounded representation type. There are only nine near-isomorphism types of indecomposables, all of rank <= 6.
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Let R be a commutative ring with identity. An extension MS N of R-modules is said to be distributive if it satisfies the following condition: Mn(X+ Y)=(MnX)+(Mn Y), for all submodules X, Y of N. In [2], Davison has shown that every R-module M which is locally non- zero at every maximal ideal of R has a maximal distributive extension and has raised the question: Is this unique up to M-isomorphism, in which case one can denote it by D(M) and call it the distributive hull of M [l, 51. In this paper we answer t...
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E. Solak,
The Class of (2, 3)-Groups with Homocyclic Regulator Quotient of Exponent p 2
. 2017, p. 447.