RICHARD M. FOOTE, Ph.D.

Professor of Mathematics
Department of Mathematics and Statistics
University of Vermont
16 Colchester Avenue (Henry Marcus Lord House)
Burlington, VT 05405

(802) 656--8135

email: foote@math.uvm.edu

picture of Richard Foote
 

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



LINK TO SPRING 2008 CLASSES WEB PAGE:  click here


SELECTED PAPERS:

1.  A Characterization of Finite Groups Containing a Strongly Closed 2-subgroup,
       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)

REVIEW PAPER:

1. Mathematics and Complex Systems,
      
Science,  Vol 318, October 19, 2007, pp. 410--412.  (abstract or full text)



Abstract Algebra, Third Edition

by David Dummit and Richard Foote

John Wiley and Sons, Inc.,  2004,  pp. 1--932.

The Third Edition of Abstract Algebra is widely available -- see link to Wiley

picture of cover of Third Edition
 

1. Table of Contents and Preface to the Third Edition ( pdf file )

2. Errata to the Third Edition (dvi file) or ( pdf file)
 
 



Abstract Algebra, Second Edition

by David Dummit and Richard Foote

John Wiley and Sons, Inc.,  1999,  pp. 1--898.

picture of cover of Second Edition

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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