Peter Mayr
### Peter Mayr

I am working
at the Department of Algebra
at the University of Linz.
Since 1997 I have been involved in the
SONATA project,
a GAP-package for the
computation with near-rings.

From October 2006 to September 2007 I was visiting the
Department of Mathematics at the
University of Colorado at Boulder
supported by the Austrian science fund
(FWF) via an Erwin-Schrödinger-Grant.
The topic of my research was clones of polynomial and term functions on groups
and Mal'cev algebras. Here is a detailed
description and here is one
result.
### Teaching

Universität Linz:
FH Hagenberg:
- Übung Mathematik 3, Studiengang CMS (Winter 08/09) .
- Übung Sicherheit in Mobilsystemen, Studiengang MC (Winter 07/08).

Something completely different:
### Organizing the AAA76
conference together with E. Aichinger and G. Pilz

### Research

My current research interests are group theory, universal algebra, and
their connections:
- clones (polynomial, term functions on algebraic structures,
compatibility, interpolation, completeness);
some typical results can be found on this poster.
- varieties (expanded groups, Malcev terms, equations in algebraic structures, finiteness conditions)
- actions of groups (infinite sharply 2-transitive permutation groups, Frobenius groups, representation theory)

Some questions for which I would like to have an answer:
- Is there an infinite sharply 2-transitive permutation group with point
stabilizer of finite exponent?
- Let A be a subgroup of order pq (p,q not necessarily distinct primes)
of the point stabilizer of an infinite sharply 2-transitive permutation
group. Is A cyclic?
- (Mazurov, Kourovka Notebook 14.58) Let A be a group of prime exponent that
acts Frobenius (ie, fixed-point-free, regular) on a vector space.
Is A cyclic?
- Determine the finite subgroups of the multiplicative groups of
near-fields.
- Is the transposition on a general linear group over some infinite field
(reals, complex numbers,...) a polynomial function?

### Publications

Here you can find my papers.

For my presentations you can also look at the university's database
for research documentation,
FODOK.
### Resources

### Contact

Visit me at my office at Linz University, room KG416.

Send me an e-mail: peter.mayr@jku.at

Try to skype me.

My phone number is ++43 732 2468 9143.

Our department has a fax with the number ++43 732 2468 8499.

My postal address: Department of Algebra, Johannes Kepler Universität Linz, Altenberger Strasse 69, 4040 Linz, Austria, Europe.