(802) 656--8135
email: foote@math.uvm.edu
Areas of
expertise: group theory and applications,
algebraic
number theory.
2.
Sylow 2-subgroups of Galois
Groups
Arising
as Minimal Counterexamples to Artin's
Conjecture,
Communications
in Algebra, 25(1997), 607--616. (pdf file
or dvi
file )
3.
A Wreath Product Group Approach to
Signal and Image Processing: Part
I -- Multiresolution Analysis,
(with G. Mirchandani,
D. Rockmore,
D. Healy, and T. Olson),
IEEE Transactions on
Signal
Processing,
Vol. 48, No. 1, Jan. 2000, pp. 102--132. ( pdf
file or postscript
file )
4.
A Wreath Product Group Approach
to
Signal and Image Processing:
Part II -- Convolution, Correlation and
Applications,
(with G.
Mirchandani,
D. Rockmore,
D. Healy, and T. Olson),
IEEE Transactions on
Signal
Processing,
Vol. 48, No. 3, March 2000, pp. 749--767. ( pdf
file or postscript
file )
5.
Homogeneously
Generated Groups,
(with Lenny Jones),
Journal of
Group Theory, 6(2003),
pp. 321--330. ( pdf
file or dvi file )
6. An Algebraic Approach to
Multiresolution Analysis,
Trans. Amer.
Math. Soc., Vol 357, No. 12, March 2005, pp. 5031--5050. (pfd file
or dvi file)
7.
Strongly
Closed Subgroups of Finite Groups,
(with Ramón J.
Flores),
Advances in Mathematics, (2009). (pdf
file or dvi
file)
REVIEW PAPER:
1. Mathematics and Complex Systems,The Third Edition of Abstract Algebra is widely available -- see link to Wiley
1. Table of Contents and Preface to the Third Edition ( pdf file )
2. Errata to the Third Edition
(dvi
file) or ( pdf
file)
Our book was first published
by
Prentice-Hall, but is now being sold by John Wiley.
The Wiley
version
of the Second Edition is identical to the Prentice-Hall Second Edition,
except
that
some corrections have been made in the Wiley printings.
1. Table of Contents and Preface to the Second Edition ( pdf file )
2. Errata to the Prentice-Hall printing only ( dvi file ) or ( pdf file )
3. Errata to the John Wiley
&
Sons printings ( dvi file)
or ( pdf file
)
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