A+ CATEGORY SCIENTIFIC UNIT

$(1,4)$-groups with homocyclic regulator quotient of exponent $p^3$

Volume 138 / 2015

David M. Arnold, Adolf Mader, Otto Mutzbauer, Ebru Solak Colloquium Mathematicum 138 (2015), 131-144 MSC: Primary 20K15; Secondary 20K25, 20K35, 15A21, 16G60. DOI: 10.4064/cm138-1-8

Abstract

The class of almost completely decomposable groups with a critical typeset of type $(1,4)$ and a homocyclic regulator quotient of exponent $p^3$ is shown to be of bounded representation type. There are precisely four near-isomorphism classes of indecomposables, all of rank $6$.

Authors

  • David M. ArnoldDepartment of Mathematics
    Baylor University
    Waco, TX 76798-7328, U.S.A.
    e-mail
  • Adolf MaderDepartment of Mathematics
    University of Hawaii
    2565 McCarthy Mall
    Honolulu, HI 96822, U.S.A.
    e-mail
  • Otto MutzbauerMathematisches Institut
    Universität Würzburg
    Emil-Fischer-Str. 30
    97074 Würzburg, Germany
    e-mail
  • Ebru SolakDepartment of Mathematics
    Middle East Technical University
    Inönü Bulvarı
    06531 Ankara, Turkey
    e-mail

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