Department of Mathematics and Statistics

University of Vermont

16 Colchester Avenue (Henry Marcus Lord House)

Burlington, VT 05405

(Room 407)

(802) 656--8135

email: foote@math.uvm.edu

Areas of
expertise: group theory and applications,
algebraic
number theory.

LINK TO CLASSES WEB PAGE -- Spring 2014 class web pages

Communications in Algebra, 25(1997), 593--606. (pdf file or dvi file )

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,
222(2009), 453--484. (pdf
file or dvi
file)

8.
The
Cellular Structure of the Classifying Spaces of Finite Groups,

(with Ramón J.
Flores),

Israel Journal of Mathematics,
184(2011), 129--156. (pdf
file or dvi
file)

9.
The
Perfect Order Subset Conjecture for Simple Groups,

(with Benjamin Reist),

Journal of Algebra, 391(2013),
1--21. (pdf
file)

1. Mathematics and Complex Systems,

Science, Vol 318, October 19, 2007, pp. 410--412. (abstract or full text)

Abstract Algebra, Third Edition

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)

Richard
Foote (left) and David Dummit outside the UVM Math/Stat Dept.

T-shirt courtesy of Tufts University Mathematics Graduate Students
soccer team

(Foote
showing the reverse side of the T-shirt)

Photo, taken by Meghan Kelly, courtesy of
David Dummit

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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Department
of
Mathematics
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Statistics