Mathematics Publications

 

1. Dissertation:  A Generalization of Local Class Field Theory, Univ. Microfilms, 1963

 

2. A Reciprocity Law for Maximal Fields, Trans. Amer. Math. Soc. 25 (1966), 422-31.

 

3. Primary Components of the Lift-Restriction Sequence, Archiv der Math 20 (3)(1969), 254-7

 

4. An Explicit Local Norm Residue Symbol, Journal of Number Theory 2 (1970), 143-51.

            (with W. Graves)

 

5. Valuations on Distributive Lattices, in Proceedings of the Conference on Mobius Algebras,

            University of Waterloo (1970), 59-63

 

6. The Category of Complete Algebraic Lattices, Journal of Combinatorial Theory 13 (1972),

             332-38. (with W. Graves)

 

7. Valuations on Distributive Lattices I, Archiv der Math. Vol 24 (1973), 230-239

 

8. Valuations on Distributive Lattices II, Archiv der Math. Vol 24 (1973), 333-344

 

9. Valuations on Distributive Lattices III, Archiv der Math. Vol 24 (1973), 475-481

 

10. Pythagoras and the Cauchy-Schwarz Inequality, American Math. Monthly 83 (1976), 40-41.

 

11. Superdiagonalization and Real Normal Operators, L'Enseignement Mathematique, Serie II,

            22 Fasc. 1-2, Jan.-June (1976)

 

12. Eigenvalues of Real Symmetric Matrices, Elemente der Mathematik, Bd 31, #4 (1976), 92

 

13. Derivations of Lie Algebras into Bimodules, Rivista di Matematica della

            Universita di Parma 4 (3) (1977), 109-110

 

14. Hopf Algebras of Symmetric Functions and Class Functions, Proceedings of the Conference

            "Combinatorie et representation du groupe symetrique," Strasbourg, France, 1976, Lecture

            Notes in Mathematics #579, Springer-Verlag (1977), 168-181

 

15. Critical Points of a Modified Trace, Linear and Multilinear Algebra 5 (1978), 321-323

 

16. Representations of the Hyperoctahedral Groups, Journal of Algebra 53, July 1978, 1-20

            (with D. Kinch)

 

17. The Face Structure of a Poset Polytope, Proceedings of the 3rd Caribbean Conference on

            Combinatorics & Computing, Jan. 5-9, 1981, Barbados.

 


18. Instructional Computing in Abstract Algebra, Proceedings of the IBM ACIS University

            Conference 'Tools for Learning,' Boston, June 27-30, 1987

 

19. Exploring Small Groups, Software and User's Manual Published by

            Harcourt/Brace/Jovanovich, 1989

 

20. The Development of EXPLORING SMALL GROUPS: A Tool for Learning Abstract

            Algebra, Published in EDUCOM/Academic Computing Software Initiative Monograph

            Series. 1991

 

21. MathKit: Interactive Workbooks for Math and Science, published by IAT, 1993.

 

22. Toolkit for Interactive Mathematics, Program and Teacher Guide, EduQuest (IBM K-12),

            March 94

 

23. MathScript Reference, EduQuest (IBM K-12), March 1994

 

24. Exploring Small Groups, new version of program and User's Manual, packaged with

            "Laboratory Experiences in Group Theory" by Ellen Parker, MAA, 1996.