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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.
Galois structure of modular forms of even weight
Gurel, E. (Elsevier BV, 2009-10-01)
We calculate the equivariant Euler characteristics of powers of the canonical sheaf on certain modular curves over Z which have a tame action of a finite abelian group. As a consequence, we obtain information on the Galois module structure of modular forms of even weight having Fourier coefficients in certain ideals of rings of cyclotomic algebraic integers. (c) 2009 Elsevier Inc. All rights reserved.
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BibTeX
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.