Geodesic
$(1,4)$-groups with homocyclic regulator quotient of exponent $p^3$
David M. Arnold 1   ; Adolf Mader 2   ; Otto Mutzbauer 3   ; Ebru Solak 4
1 Department of Mathematics Baylor University Waco, TX 76798-7328, U.S.A.
2 Department of Mathematics University of Hawaii 2565 McCarthy Mall Honolulu, HI 96822, U.S.A.
3 Mathematisches Institut Universität Würzburg Emil-Fischer-Str. 30 97074 Würzburg, Germany
4 Department of Mathematics Middle East Technical University Inönü Bulvarı 06531 Ankara, Turkey
Colloquium Mathematicum, Tome 138 (2015) no. 1, pp. 131-144 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $p^3$ is shown to be of bounded representation type. There are precisely four near-isomorphism classes of indecomposables, all of rank $6$.
DOI : 10.4064/cm138-1-8
Keywords: class almost completely decomposable groups critical typeset type homocyclic regulator quotient exponent nbsp shown bounded representation type there precisely near isomorphism classes indecomposables rank nbsp

David M. Arnold  1   ; Adolf Mader  2   ; Otto Mutzbauer  3   ; Ebru Solak  4

1 Department of Mathematics Baylor University Waco, TX 76798-7328, U.S.A.
2 Department of Mathematics University of Hawaii 2565 McCarthy Mall Honolulu, HI 96822, U.S.A.
3 Mathematisches Institut Universität Würzburg Emil-Fischer-Str. 30 97074 Würzburg, Germany
4 Department of Mathematics Middle East Technical University Inönü Bulvarı 06531 Ankara, Turkey 
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     title = {$(1,4)$-groups with homocyclic regulator
 quotient of exponent $p^3$},
     journal = {Colloquium Mathematicum},
     pages = {131--144},
     year = {2015},
     volume = {138},
     number = {1},
     doi = {10.4064/cm138-1-8},
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 quotient of exponent $p^3$
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 quotient of exponent $p^3$
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David M. Arnold; Adolf Mader; Otto Mutzbauer; Ebru Solak. $(1,4)$-groups with homocyclic regulator
 quotient of exponent $p^3$. Colloquium Mathematicum, Tome 138 (2015) no. 1, pp. 131-144. doi: 10.4064/cm138-1-8

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