The class of (1,3)-groups with homocyclic regulator quotient of exponent p(4) has bounded representation type

Date

2014-02-15

Author

Arnold, David M.
Mader, Adolf
Mutzbauer, Otto
Solak, Ebru

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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.

Subject Keywords

Algebra and Number Theory

URI

https://hdl.handle.net/11511/46481

Journal

JOURNAL OF ALGEBRA

DOI

https://doi.org/10.1016/j.jalgebra.2013.10.029

Collections

Department of Mathematics, 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.
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Citation Formats

D. M. Arnold, A. Mader, O. Mutzbauer, and E. Solak, “The class of (1,3)-groups with homocyclic regulator quotient of exponent p(4) has bounded representation type,” JOURNAL OF ALGEBRA, pp. 43–55, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46481.