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Dr. Burkhard Höfling

Contact

• E-Mail: firstinitial.lastnameReplacingÖByOE@tu-bs.de
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Theses

1. Produkte endlicher nilpotenter Gruppen (Products of finite nilpotent groups, in English), Diplomarbeit, Mainz (1993). Available in dvi.gz and pdf format.
2. Locally finite products of two locally nilpotent groups, Doctoral dissertation, Mainz (1996). Available in dvi.gz and pdf format.

Publications

1. Efficient multiplication algorithms\cr for finite polycyclic groups Submitted. Download preprint Available in dvi.gz and pdf format.
2. IRREDSOL — a library of irreducible solvable linear groups over finite fields. Accepted as refereed GAP package. IRREDSOL home page
3. The solvable primitive permutation groups of degree at most 6560 (with B.~Eick) LMS J. Comput. Math. 6 (2003), 29-39.
4. Dade's conjecture and wreath prducts (with C. W. Eaton) J. Group Theory 5 (2002), 409-428.
5. CRISP -- a GAP package for computing with radicals, injectors, Schunck classes and projectors of finite soluble gropus. Refereed GAP share package. CRISP home page
6. Computing projectors, injectors, residuals and radicals of finite soluble groups. J. Symbolic Comp. 32 (2001), 499-511.
7. GAP --- Groups, Algorithms, and Programming, Version 4.2 (with numerous other authors). St Andrews, Aachen, (1999). GAP home page
8. Finite irreducible imprimitive nonmonomial complex linear groups of degree four. J. Algebra 236 (2001), 419-470.
9. On the number of conjugacy classes of maximal subgroups in a finite soluble group. Arch. Math. 72 (1999), 1-8. Review (MR 99i:20025)
10. Subgroups of locally finite products of locally nilpotent groups, Glasgow J. Math. 41 (1999), 323--343. Review (MR 2000j:20059)
11. Periodic radical products of two locally nilpotent subgroups, Glasgow J. Math. 40 (1998), 241-255. Review (MR 99g:20068)
12. Schunck classes and projectors of periodic soluble nilpotent-by-finite groups, J. Algebra 194 (1997), 415-428. Review (MR 98h:20069)
13. Konechnye gruppy s kratnymi faktorizaciyami (Finite groups with multiple factorizations) (with B. Amberg and L. S. Kazarin), Fundam. Prikl. Mat. 4 (1998), 1251-1263. English version available as Preprint des Fachbereichs Mathematik Nr. 10 (1995). Download preprint (19K, gzipped dvi file)
14. On finite products of nilpotent groups (with B. Amberg), Arch. Math. 63 (1994), 1-8. Review (MR 95c:20030)
15. On direct summands of Butler B⁽¹⁾-groups, Comm. Alg. 21 (1993), 1849--1856. Review (MR 94c:20091)