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

Metadata

Show full item record

Item Usage Stats

247
views

0
downloads

URI

http://bulletin.math.uoc.gr/vol/61/61-55-72.pdf
https://hdl.handle.net/11511/72666

Journal

Bulletin of the Hellenic Mathematical Society

Collections

Unverified, Article

Suggestions

OpenMETU
Core

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 (2, 3)-Groups with Homocyclic Regulator Quotient of Exponent p 2 Solak, Ebru (Springer, 2017-01-01)
The mapping class group is generated by two commutators Baykur, R. Inanc; Korkmaz, Mustafa (2021-05-01) We show that the mapping class group of any closed connected orientable surface of genus at least five is generated by only two commutators, and if the genus is three or four, by three commutators. (C) 2021 Elsevier Inc. All rights reserved.
The first homology of a real cubic is generated by lines Finashin, Sergey (2021-01-01)

Citation Formats

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.