Department of Mathematics and Statistics

University of Vermont

16 Colchester Avenue (Henry Marcus Lord House)

Burlington, VT 05405

(Room 404)

(802) 656--8135

email: __foote "at" math.uvm.edu__

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

LINK TO CLASSES WEB PAGE -- Spring 2016 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)

10. *Characterizations
of Finite Groups with p-Fusion of Squarefree Type*,

(with Matthew Welz),

Bulletin of the Malaysian
Mathematical Sciences Society, July 2014, 8 pages. (pdf file)

11. *Heilbronn
Characters*,

(with Hy Ginsberg and V. Kumar
Murty),

Bulletin of the American
Mathematical Society, Vol. 52, No. 3, July 2015, 465--496. (pdf file) (pdf file with minor
corrections)

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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