**Contact Information:**

**Email:** foote “at sign” math “dot” uvm “dot” edu

#### 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)

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)

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

**RICHARD M. FOOTE, Ph.D.**

Emeritus Professor of Mathematics

Department of Mathematics and Statistics

**AREAS OF EXPERTISE:**

group theory and applications, algebraic number theory

*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

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

**Abstract Algebra, Second Edition**

by David Dummit and Richard Foote

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

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 )