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The Class of (1,3) -Groups with a homocyclic regulator quotient of exponent p5 is of finite representation type
Date
2017-12-01
Author
Arnold, David
Mader, Adolf
Mutzbauer, Otto
Solak, Ebru
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http://bulletin.math.uoc.gr/vol/61/61-55-72.pdf
https://hdl.handle.net/11511/72666
Journal
Bulletin of the Hellenic Mathematical Society
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Unverified, Article
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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.
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Solak, Ebru (Springer, 2017-01-01)
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D. Arnold, A. Mader, O. Mutzbauer, and E. Solak, “The Class of (1,3) -Groups with a homocyclic regulator quotient of exponent p5 is of finite representation type,”
Bulletin of the Hellenic Mathematical Society
, pp. 55–72, 2017, Accessed: 00, 2021. [Online]. Available: http://bulletin.math.uoc.gr/vol/61/61-55-72.pdf.