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unilogo Universität Stuttgart
Fakultät 8: Fachbereich Mathematik
Lehrstuhl für Differentialgeometrie

Dipl.-Math. Leo Margolis


Anschrift Universität Stuttgart
Institut für Algebra und Zahlentheorie
Lehrstuhl für Algebra
Pfaffenwaldring 57
D-70569 Stuttgart
Zimmer 8.151
Telefon ++49(0)711 / 685 - 65303
E-Mail Leo.Margolis@mathematik.uni-stuttgart.de
Sprechstunde Vorlesungszeit:
Mo 15:00-16:00h

I am now working with A. del Rio at the University of Murcia, Spain, supported by a Marie-Curie Individual Fellowship. This page was last updated on August 16th, 2016.

- Betreute Vorlesungen

- Research Interests
  • Integral Group Rings
  • Units in Group Rings
  • Group Theory
  • Applied Representation Theory

- Thesis
I defended my PhD-Thesis on June 2nd 2015, you can view the thesis here . It was supervised by Wolfgang Kimmerle and co-supervised by Angel del Rio and Meinolf Geck.

- Publications
  • Zassenhaus Conjecture for cyclic-by-abelian groups (with M. Caicedo and A. del Rio)
    J. of the London Math. Soc. (2) 88 (2013), no. 1 View
  • Rational conjugacy of torsion units in integral group rings of non-solvable groups (with A. Bächle)
    preprint (2014), to be published in the Proccedings of the EMS, View
  • A Sylow theorem for the integral group ring of PSL(2,q)
    J. Algebra 445 (2016), 295-306 View
  • Torsion subgroups in the units of the integral group ring of PSL(2,p^3) (with A. Bächle)
    Arch. Math. (Basel) 105 (2015), no. 1, 1-11 View
  • HeLP -- A GAP-package for torsion units in integral group rings (with A. Bächle)
    preprint (2015), submitted View
  • Subgroup Isomorphism Problem for Units of Integral Group Rings
    preprint (2015), to be published in the Journal of Group Theory View
  • p-subgroups of units in ZG (with W. Kimmerle)
    preprint (2016), to be published in an AMS Proceedings Volume dedicated to the 75th birthday conference of Don Passman View
  • On the Prime Graph Question for Integral Group Rings of 4-primary groups I (with A. Bächle)
    preprint (2016), submitted View
  • On the Prime Graph Question for Integral Group Rings of 4-primary groups II (with A. Bächle)
    preprint (2016), submitted View

- Software

Together with Andreas Bächle we wrote a GAP-package implementing the HertweckLutharPassi method for torsion units in group rings. You can download it here.
If you use the software and encounter any difficulties, please let us know.

- Contributed Conference Talks
  • Subgroup Isomorphism Problem and Sylow theorems in integral group rings, Ischia Group Theory 2016, Ischia, Italy, March 29th - April 2nd 2016
  • Zassenhaus Conjecture and Prime Graph Question for Integral Group Rings, Special Session on Groups, Rings, Group Rings, and Hopf Algebras (celebrating the 75th birthday of Donald S. Passman), Chicago, Illinois, USA, October 2nd - October 4th 2015
  • Torsion Units in Integral Group Rings, Jahrestagung DFG Schwerpunkt 1489, Osnabrück, Germany, September 28th - October 2nd 2015
  • Prime graph question for torsion units in group rings of 4-primary groups, Groups and theit Actions, Bedlewo, Poland, June 22nd - 25th 2015
  • Torsionsuntergruppen in ganzzahligen Gruppenringen, Grüppchen 2015, Gießen, Germany, March 6th - 7th 2015
  • Representation Theory Applied to Torsion Units in Group Rings, Darstellungstheorietage 2014, Kaiserslautern, Germany, November 7th - 8th 2014, View slides
  • Torsion Units in the Integral Group Ring of PSL(2,p^f), DMV-PTM Joint Meeting 2014, Poznan, Poland, September 16th - 20st 2014, View slides
  • Prime Graph Question for 4-primary groups II, Groups, Rings and Group Rings, St. Catherines, Ontario, Canada, July 28th - August 1st 2014, View slides
  • Zassenhaus Conjecture for cyclic-by-abelian groups, Groups St. Andrews 2013, St. Andrews, Scotland, August 3rd - 11th 2013, View slides
  • Rational conjugacy of torsion units in integral group rings of non-solvable groups, Recent Trends in Rings and Algebras, Murcia, Spain, June 3rd - 7th 2013, View slides
  • On the first Zassenhaus Conjecture, Darstellungstheorietage 2012, Magdeburg, Germany, November 23rd - 24th 2012, View slides
  • Zassenhaus Conjecture for cyclic-by-abelian groups, Group Rings and related topics, University of Stuttgart, Germany, June 25th-29th 2012, View slides
  • Freie Untergruppen in U(ZG) und dieder-kritische Elemente, Studierendenkonferenz der DMV 2011, Cologne, Germany, September 20th - 21st 2011
  • Dihedral p-critical elements in finite simple groups, Groups, Rings and Group Rings, University of Alberta, Edmonton, Canada, July 11th - 15th 2011, View slides

- Seminar Talks
  • Torsion subgroups in the Unit Group of Integral Group Rings, Oberseminar Algebra/Zahlentheorie, Universität Jena, December 1st 2015
  • The Zassenhaus Conjecture for Integral Group Rings, Oberseminar Algebra, Universität Osnabrück, November 10th 2015
  • Torsion Units in Integral Group Rings, Oberseminar Gruppen und Geometrie, Universität Bielefeld, October 21st 2015
  • Sylow Theorems for the Unit Group of the Integral Group Ring, Department of Mathematics, Universidad de Murcia, January 22nd 2015
  • Rational Conjugacy of Torsion Units in Group Rings, Department of Mathematics, Vrije Universiteit Brussel, December 10th 2014
  • Zassenhaus Conjecture and Prime Graph Question for Group Rings, Oberseminar Algebra, Department of Mathematics, University of Stuttgart, June 25th 2014
  • Rational conjugacy of torsion units in integral group rings of non-solvable groups, Oberseminar Algebra, Department of Mathematics, University of Stuttgart, January 29th 2013
  • Small subgroups of units in the Integral Group Ring, Oberseminar Algebra, Department of Mathematics, University of Stuttgart, May 18th 2012
  • Free subgroups in the Integral Group Ring and dihedral p-critical elements, Oberseminar Algebra, Department of Mathematics, University of Stuttgart, July 7th 2011