(1,4)-groups with homocyclic regulator quotient of exponent p³

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

Colloquium Mathematicae (2015)

  • Volume: 138, Issue: 1, page 131-144
  • ISSN: 0010-1354

Abstract

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The class of almost completely decomposable groups with a critical typeset of type (1,4) and a homocyclic regulator quotient of exponent p³ is shown to be of bounded representation type. There are precisely four near-isomorphism classes of indecomposables, all of rank 6.

How to cite

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David M. Arnold, et al. "(1,4)-groups with homocyclic regulator quotient of exponent p³." Colloquium Mathematicae 138.1 (2015): 131-144. <http://eudml.org/doc/286613>.

@article{DavidM2015,
abstract = {The class of almost completely decomposable groups with a critical typeset of type (1,4) and a homocyclic regulator quotient of exponent p³ is shown to be of bounded representation type. There are precisely four near-isomorphism classes of indecomposables, all of rank 6.},
author = {David M. Arnold, Adolf Mader, Otto Mutzbauer, Ebru Solak},
journal = {Colloquium Mathematicae},
keywords = {almost completely decomposable groups; indecomposable groups; groups of bounded representation type; near-isomorphism types; typesets},
language = {eng},
number = {1},
pages = {131-144},
title = {(1,4)-groups with homocyclic regulator quotient of exponent p³},
url = {http://eudml.org/doc/286613},
volume = {138},
year = {2015},
}

TY - JOUR
AU - David M. Arnold
AU - Adolf Mader
AU - Otto Mutzbauer
AU - Ebru Solak
TI - (1,4)-groups with homocyclic regulator quotient of exponent p³
JO - Colloquium Mathematicae
PY - 2015
VL - 138
IS - 1
SP - 131
EP - 144
AB - The class of almost completely decomposable groups with a critical typeset of type (1,4) and a homocyclic regulator quotient of exponent p³ is shown to be of bounded representation type. There are precisely four near-isomorphism classes of indecomposables, all of rank 6.
LA - eng
KW - almost completely decomposable groups; indecomposable groups; groups of bounded representation type; near-isomorphism types; typesets
UR - http://eudml.org/doc/286613
ER -

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