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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http://www.springer.com/gp/book/9783319517179
https://hdl.handle.net/11511/75230

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Groups, Modules, and Model Theory - Surveys and Recent Developments

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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.
The class of (1,3)-groups with homocyclic regulator quotient of exponent p(4) has bounded representation type Arnold, David M.; Mader, Adolf; Mutzbauer, Otto; Solak, Ebru (Elsevier BV, 2014-02-15) 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.
The Class of (1,3) -Groups with a homocyclic regulator quotient of exponent p5 is of finite representation type Arnold, David; Mader, Adolf; Mutzbauer, Otto; Solak, Ebru (2017-12-01)
The second homology groups of mapping class groups of orientable surfaces Korkmaz, Mustafa (Cambridge University Press (CUP), 2003-05-01) Let $\Sigma_{g,r}^n$ be a connected orientable surface of genus $g$ with $r$ boundary components and $n$ punctures and let $\Gamma_{g,r}^n$ denote the mapping class group of $\Sigma_{g,r}^n$, namely the group of isotopy classes of orientation-preserving diffeomorphisms of $\Sigma_{g,r}^n$ which are the identity on the boundary and on the punctures. Here, we see the punctures on the surface as distinguished points. The isotopies are required to be the identity on the boundary and on the punctures. If $r$ and...
The distributive hull of a ring Erdoğdu, Vahap (Elsevier BV, 1990-8) 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...

Citation Formats

E. Solak, The Class of (2, 3)-Groups with Homocyclic Regulator Quotient of Exponent p 2. 2017, p. 447.