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Contact Information:<\/strong><\/h4>\n\n\n\n

Email:<\/strong> foote “at sign” math “dot” uvm “dot” edu<\/p>\n\n\n\n

<\/p>\n\n\n\n

Selected Papers:<\/h4>\n\n\n\n

1.  A Characterization of Finite Groups Containing a Strongly Closed 2-subgroup,<\/em>
       Communications in Algebra, 25(1997), 593–606. (pdf file<\/a> or dvi file<\/a> )<\/p>\n\n\n\n

2.  Sylow 2-subgroups of Galois Groups Arising as Minimal Counterexamples to Artin’s<\/em> Conjecture,<\/em>
       Communications in Algebra, 25(1997), 607–616. (pdf file<\/a> or dvi file<\/a> )<\/p>\n\n\n\n

3.  A Wreath Product Group Approach to Signal and Image Processing:<\/em> Part I — Multiresolution Analysis,<\/em>
       (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<\/a>  or  postscript file<\/a> )<\/p>\n\n\n\n

4.  A Wreath Product Group Approach to Signal and Image Processing:<\/em> Part II — Convolution, Correlation and Applications,<\/em>
       (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<\/a> or postscript file<\/a> )<\/p>\n\n\n\n

5.  Homogeneously Generated Groups<\/em>,
       (with Lenny Jones), 
       Journal of Group Theory, 6(2003), pp. 321–330. ( pdf file<\/a> or dvi file<\/a> )<\/p>\n\n\n\n

6.  An Algebraic Approach to Multiresolution Analysis,
       <\/em>Trans. Amer. Math. Soc., Vol 357, No. 12, March 2005,  pp. 5031–5050. (pfd file<\/a> or dvi file<\/a>)
<\/strong><\/p>\n\n\n\n

7.  Strongly Closed Subgroups of Finite Groups<\/em>,
       (with Ram\u00f3n J. Flores), 
Advances in Mathematics, 222(2009), 453–484. (pdf file<\/a> or dvi file<\/a>)

7a.  A Corollary to Strongly Closed Subgroups of Finite Groups<\/em> (pdf file<\/a>)
<\/p>\n\n\n\n

8.  The Cellular Structure of the Classifying Spaces of Finite Groups<\/em>,
       (with Ram\u00f3n J. Flores), 
       Israel Journal of Mathematics, 184(2011), 129–156. (pdf file<\/a> or dvi file<\/a>)
<\/p>\n\n\n\n

9.  The Perfect Order Subset Conjecture for Simple Groups<\/em>,
       (with Benjamin Reist), 
       Journal of Algebra, 391(2013), 1–21. (pdf file<\/a>)
<\/p>\n\n\n\n

10. Characterizations of Finite Groups with p-Fusion of Squarefree Type<\/em>,
        (with Matthew Welz),
        Bulletin of the Malaysian Mathematical Sciences Society, July 2014, 8 pages.  (pdf file)<\/a>
<\/p>\n\n\n\n

11. Heilbronn Characters<\/em>,
      (with Hy Ginsberg and V. Kumar Murty),
      Bulletin of the American Mathematical Society, Vol. 52, No. 3, July 2015, 465–496. (pdf file)<\/a> (pdf file with minor corrections)<\/a>

12. Mathematics and Complex Systems,
       <\/em>Science,  Vol 318, October 19, 2007, pp. 410–412.  (abstract<\/a> or full text<\/a>)<\/p>\n\n\n\n