Mutzbauer Otto, Prof. Dr.

• Konstruktion, Klassifizierung und Strukturuntersuchungen abelscher Gruppen, insbesondere für p-Gruppen, torsionsfreie Gruppen, gemischte Gruppen, fast vollständig zerlegbare Gruppen, Butlergruppen.
• Endomorphismenringe, Automorphismengruppen.

• Einfach präsentierte Moduln, Warfield Moduln, Lokalisierungen.

• Äquivalenzprobleme für Matrizen,
• Normalformen über verschiedenen Ringen und Bereichen,
• Behandlung von (0,1)-Matrizen.

Bandbreitenminimierung und Anwendung von Matrixumordnungen zur Beschleunigung von Lösungsverfahren, insbesondere des Gaußalgorithmus.

• Konstruktion von Inzidenzmatrizen endlicher projektiver Ebenen und deren geometrische Interpretation
• Schälen von regulären Matrizen

 O. Mutzbauer, Fastabelsche Minimaxgruppen,
 Rend. Sem. Mat. Univ. Padova 46 (1971), 375-384.

 O. Mutzbauer, Klassifizierung torsionsfreier abelscher Gruppen des
 Ranges 2, Rend. Sem. Mat. Univ. Padova 55 (1976), 195-208.

 O. Mutzbauer, Klassifikation torsionsfreier abelscher Gruppen des
 Ranges 2 (2. Teil), Rend. Sem. Mat. Univ. Padova 58 (1977), 163-174.

 O. Mutzbauer, Untergruppen und Faktoren torsionsfreier abelscher
 Gruppen des Ranges 2, Publ. Math. Debrecen 26 (1979), 95-104.

 O. Mutzbauer, Zerlegbarkeitskriterien fü Invarianten  torsionsfreier
abelscher Gruppen des Ranges 2,  Czech. Math. J. 29 (1979), 337-339.

 R. Burkhardt, O. Mutzbauer, Decompositions of torsion-free
 abelian groups of rank 3, Arch. Math. 35 (1980), 501-504.

 R. Gütling, O. Mutzbauer, Classification of torsion-free  abelian
minimax groups, Rend. Sem. Mat. Univ. Padova  64 (1981), 193-199.

 K. Benabdallah, O. Mutzbauer, On direct decompositions  of
torsion-free abelian groups of rank 4, in Abelian Group Theory,
 Lecture Notes Math. 874 (1981), 62-69.

 O. Mutzbauer, Type graph, in Abelian Group Theory,
 Lecture Notes Math. 1006 (1983), 228-252.

 K.-J. Krapf, O. Mutzbauer, Classification of almost completely  decomposable
groups, in Abelian Groups and Modules,  C.I.S.M. 287 (1984), 151-161.

 O. Mutzbauer, Type invariants of torsion-free abelian groups,
 Abelian group theory, Contemp. Math. 87 (1989), 133-154.

 H. P. Heislbetz, O. Mutzbauer, Invariante Typen in  torsionsfreien,
auflösbaren Gruppen endlichen Ranges,  Arch. Math. 55 (1990), 10-24.

 O. Mutzbauer, Type radicals and quasi-decompositions  of torsion-free
abelian groups,  J. Austral. Math. Soc. 52 (1992), 219-236.

 E. Müller, O. Mutzbauer, Regularität in torsionsfreien
 abelschen Gruppen, Czech. Math. J. 42 (1992), 279-288.

 B. Frey, O. Mutzbauer, Regulierende Untergruppen  und der
Regulator fast vollständig zerlegbarer Gruppen,
 Rend. Sem. Mat. Univ. Padova 88 (1992), 1-23.

 E. Müller, O. Mutzbauer, Jordan-Hölder-Gruppen,
 Publ. Math. Debrecen 43 (1993), 111-127.

 A. Mader, O. Mutzbauer, Almost completely decomposable  groups
with cyclic regulator quotient, in Abelian Groups,
Lecture Notes Pure Appl. Math. 146 (1993), 193-200.

 O. Mutzbauer, Regulating subgroups of Butler groups,  in Abelian Groups,
Lecture Notes Pure Appl. Math.  146 (1993), 209-216.

 E. Müller, O. Mutzbauer, Das Gewicht einer Butlergruppe,
 M. Z. 216 (1994), 69-82.

 A. Fomin, O. Mutzbauer, Torsion-free abelian alpha-irreducible
 groups of finite rank, Comm. Alg. 22 (1994), 3741-3754.

 O. Mutzbauer, E. Toubassi, A splitting criterion for a class of
 mixed modules, Rocky Mountain J. Math. 24 (1994), 1533-1543.

 O. Mutzbauer, E. Toubassi, Extending a splitting criterion on  mixed modules,
Contemporary Math. 171,  Proceedings Oberwolfach (1994), 305-312.

 A. Mader, O. Mutzbauer, K. M. Rangaswamy, A generalization  of Butler
groups, Contemporary Math. 171,  Proceedings Oberwolfach (1994), 257-275.

 O. Mutzbauer, E. Toubassi, A reduction of the splitting problem
 for mixed modules, Comment. Math. St. Pauli 43 (1994), 121-125.

 O. Mutzbauer, Endomorphism rings of Reid groups,
 in Abelian Groups and Modules, Kluwer Academic Publishers,
 Math. and Appl. 343 (1995), 373-383.

 A. Fomin, O. Mutzbauer, Abelian groups with an endomorphism  with
irreducible minimum polynomial,  Bull. Greek Math.Soc. 37 (1995), 49-65.

 R. Burkhardt, O. Mutzbauer, Almost completely decomposable groups  with
primary cyclic regulating quotient,  Rend. Sem. Mat. Univ. Padova 95 (1996), 81-93.

 O. Mutzbauer, E. Toubassi, Classification of a class of mixed modules,
 Acta Math. Hung. (1996), 153-166.

 O. Mutzbauer, H. Schäfer, Local completions of torsion-free
 p-adic modules, in Abelian Groups and Modules,
 Lecture Notes Pure and Applied Math. 182 (1996), 315-329.

 R. Jarisch, O. Mutzbauer, E. Toubassi, Calculating indicators
 in a class of mixed modules, in Abelian Groups and Modules,
 Colorado Springs (1996), 291-301.

 S. Lehrmann, O. Mutzbauer, Eine Butlergruppe mit Regulatorkette
 der Länge 2, Publ. Math. Debrecen 50 (1997), 37-55.

 U. Dittmann, A. Mader, O. Mutzbauer, Almost completely  decomposable
groups with cyclic regulating quotient,  Comm. Alg. 25 (1997), 769-784.

 O. Mutzbauer, Endomorphism rings of torsion-free abelian  groups of
finite rank, in Adv. in Alg. and Model Theory,  Gordon Breach (1997), 319-343.

 E. Müller, O. Mutzbauer, Schichtengleiche Gewichte
 und Butlergruppen,  Czech. Math. J. 47 (1997), 193-204.

 R. Jarisch, O. Mutzbauer, E. Toubassi, Characterizing a  class of simply
presented modules by relation arrays,  Arch. Math. 71 (1999), 349-357.

 O. Mutzbauer, Normal form of matrices with application
 to almost completely decomposable groups, in Abelian Groups and
 Modules, Trends in Mathematics (1999), 121-134.

 A. Mader, O. Mutzbauer, C. Vinsonhaler, Local-global
 relations for almost completely decomposable groups, Rocky
 Mountain J. of Math. 29 (1999), 1429-1453.

 O. Mutzbauer, E. Toubassi, Quasibases of p-groups,
 Rend. Sem. Mat. Padova 102 (1999), 77-95.

 O. Mutzbauer, E. Toubassi, Hulls of mixed modules with
 finite quotient p-rank, Czech. Math. J. 49 (1999), 213-224.

 R. Jarisch, O. Mutzbauer, E. Toubassi, Characterizing  Warfield modules
by relation arrays, Rocky Mountain J. of  Math. 30 (2000), 1293-1314.

 O. Mutzbauer, Existence of rigid indecomposable almost  completely
decomposable groups,  Contemp. Math. 273 (2001), 239-244.

 R. Jarisch, O. Mutzbauer, E. Toubassi, Characterizing a  class of Warfield
modules by Ulm submodules and Ulm factors,  Arch. Math. 76 (2001), 326-337.

 A. Mader, O. Mutzbauer, G.L. Nongxa, Representing  matrices of almost
completely decomposable groups, J. Pure  and Applied Algebra (2001), 247-265.

 A. Mader, O. Mutzbauer, Double orderings of
 (0,1)-matrices, Ars Combinatoria 61 (2001), 81-95.

 A. Mader, O. Mutzbauer, Direct decompositions of uniform
 groups, Coll. Math. 87 (2001), 211-226.

 A. Mader, O. Mutzbauer, Decompositions of local rigid almost
 completely decomposable groups, Coll. Math. 88 (2001), 225-242.

 O. Mutzbauer, Quotient stable uniform groups,
 Comm. Alg. (2003), 2257-2271.

 M. Baumann, P. Fleischmann, O. Mutzbauer, Double ordering
 and fill-in for the LU factorization, SIMAX 25 (2003), 630-641.

 A. Mader, O. Mutzbauer, C. Vinsonhaler, Duality for almost
 completely decomposable groups, J. Alg. 319 (2008), 3028-3052.

 A. Mader, O. Mutzbauer, Diagonal equivalence of matrices,
  in Models, Modules and Abelian Groups, de Gruyter (2008), 221-236.

 O. Mutzbauer, E. Solak, (1,2)-groups with p-cube-regulator quotient,
 J. Alg. 320 (2008), 3821-3831.

 O. Mutzbauer, E. Solak, (1,2)-groups for a regulator quotient of
exponent p^4, in Groups and Model Theory,  Contemp. Math., 576,
Amer. Math. Soc. Providence, RI (2012), 269-285.

 D. Arnold, A. Mader, O. Mutzbauer, E. Solak, Almost completely
decomposable groups and unbounded representation type,
 J. Alg. 349 (2012), 50-62.

 D. Arnold, A. Mader, O. Mutzbauer, E. Solak, Indecomposable
(1,3)-groups and a matrix problem,  Czech. Math. J.
63 (138) (2013), 307-355.

 D. Arnold, A. Mader, O. Mutzbauer, E. Solak, Representations
of posets and indecomposable torsion-free abelian groups,
 Comm. in Alg. 42 (2013), 1287-1311.

 D. Arnold, A. Mader, O. Mutzbauer, E. Solak, The class of
(1,3)-groups with homocyclic regulator quotient of exponent p^4 has
bounded representation type, J. Alg. 400 (2014), 43-55.

 D. Arnold, A. Mader, O. Mutzbauer, E. Solak, Representations
of posets and decompositions of rigid almost completely
decomposable groups, Palestine J. Math. 3 (Spec 1) (2014), 320-341.

 D. Arnold, A. Mader, O. Mutzbauer, E. Solak, (1,4)-groups with
homocyclic regulator quotient of exponent p^3, Coll. Math. 138 (2015), 131-144.

 D. Arnold, A. Mader, O. Mutzbauer, E. Solak, The class of (2,2)-groups
with homocyclic regulator quotient of exponent p^3
has bounded representation type, Austral. Math. Soc. 99 (2015), 12-29.

 D. Arnold, A. Mader, O. Mutzbauer, E. Solak, Representations
of finite posets over the ring of integers modulo a prime power,
J. Comm. Alg. 8 (2016), 461-491.

 D. Arnold, A. Mader, O. Mutzbauer, E. Solak, A Remak-Krull-Schmidt class
of torsion-free abelian groups, in Groups, Modules, and Model Theory -
Surveys and Recent Developments, (2016), 41-68.

 D. Arnold, A. Mader, O. Mutzbauer, E. Solak, The class of (1,3)-groups with
a homocyclic regulator quotient of exponent~p5 is of finite representation type,
Bull. HMS 61 (2018), 55-72.

 A. Mader, O. Mutzbauer, Direct decomposition of matrices, in Algebraic
Techniques and their Use in Describing and Processing Uncertainty,
Studies in Computational Intelligence 878 (Elbert Walker memorial volume),
Springer (2020), 77-88.

 O. Mutzbauer, E. Toubassi, A. Vodopivec, Quasibases for non-separable p-Groups,
 Rend. Sem. Mat. Univ. Padova 144 (2020), 197-215.

Helmut Kaltenhauser,
Torsionsfreie abelsche Normalteiler endlichen Ranges in
endlich erzeugten auflösbaren Gruppen (1988)

Hans Peter Heislbetz,
Invariante Typen und Typenreihen in auflösbaren Gruppen (1992)

Edgar Müller,
Gewichte torsionsfreier abelscher Gruppen endlichen Ranges (1992)

Ralf Jarisch,
Characterizing a class of Warfield modules (1998)

Ulrich Dittmann,
Coset types and tight subgroups of almost
completely decomposable groups (2001)

Michael Nahler,
Isomorphism invariants of almost completely decomposable groups
within a near-isomorphism class (2001)

Peter Fleischmann,
Reinheit von Untergruppen fast vollständig zerlegbarer Gruppen (2003)

Silvia Joachim, geb. Eckert,
Regulatorketten in Butlergruppen (2004)

Helmut Kramer,
Inzidenzmatrizen endlicher projektiver Ebenen (2004)

Andrija Vodopivec,
Quasibasen in nicht separablen p-Gruppen (2005)

Ebru Solak,
Almost completely decomposable groups of type (1,2) (2007)

Thomas Gregor,
(0,1)-Matrices with rectangular rule (2008)