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
(Room 407)

(802) 656--8135

email: foote@math.uvm.edu

picture of Richard Foote

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



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


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)

7.  Strongly Closed Subgroups of Finite Groups,
       (with Ramón J. Flores), 
       Advances in Mathematics, 222(2009), 453--484. (
pdf file or dvi file)

7a.  A Corollary to Strongly Closed Subgroups of Finite Groups (pdf 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)


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)


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

Dummit & Footeballers T-shirt 



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 )
 


 Return to:
 UVM Department of Mathematics & Statistics