Daniel C. Mayer's
Web Site
Welcome
to the realm of Structures and Orders,
of Inspiration and Motivation!
The aim of this web site is
-
(*)
to communicate the fascinating results of my
current scientific research lines
,
in particular concerning the
Computational Theory of Algebraic Numbers
(the zeros of irreducible polynomials
with rational integer coefficients)
and the
Coclass Theory of p-Groups
,
within several recent presentations
Research Frontier 2013
,
Magma 2012
,
Oujda 2011
,
Memorial 2009
,
Centennial 2004
,
and
to integrate the intellectual and emotional areas
in a universal art project
Mysterion 2003
.
For joint results of international scientific cooperation,
I particularly refer to
Research Frontier 2013
,
Oujda Research Project 2011
,
Joint Research 2002
.
An extensive complex of topics
concerning the computational
Investigation of
Cubic Number Fields
(the structures that are generated by polynomials of the 3rd degree)
and of generalizations of their normal fields (Galois hulls) with
Dihedral
or
Metacyclic Group
as automorphism group
has been linked to the
International Number Theory Web
by Keith Matthews at Brisbane, Queensland.
-
(**)
to grant public access
to my
extensive scientific
Databases
giving detailed arithmetical data
(discriminant, conductor, units, regulator, period length,
order and structure of the class group, ambiguous principal ideals,
lattice minima, principalization type, higher p-class groups)
for various kinds of Number Fields:
Second 3-Class Groups
,
Transfer Kernel Types (TKT)
,
Complex Quadratic Class Groups
.
This information has been obtained with the aid of
very elegant and sophisticated algorithms.
If you need explanations for the concepts and symbols used in the
present pages, you will certainly get advice by the service
Abstract Algebra Online
offered by the Northern Illinois University.
Further, I emphasize -
Math resources
- a directory of Math related websites, -
DirPedia.com
- combining a dictionary, an encyclopedia and a web directory, -
frety.net
- a web directory with homepage thumbnails, and -
YoY-search
- a web portal with ten types of search.
Do not hesitate to send
questions, impressions, comments, ideas,
and constructive criticism
concerning the various topics of my web site
immediately to my e-mail address
contact@algebra.at
In the frame on the
left
you can decide which
language
is convenient for you.
Please select a
topic
of your interest