Publications: R.M. Kane

PAPERS IN REFEREED JOURNALS

1.    On loop spaces without p torsion, Pacific J. Math. 60(1975), 189-201.

2.    Primitivity and finite H-spaces, Quart. J. Math. 26(1975), 309-313.

3.    On pi3 of a finite H-space, Trans. Amer. Math. Soc. 222(1975), 99-105. (Joint paper with J.R. Hubbuck).

4.    The module of indecomposables for finite H-spaces, Trans. Amer. Math. Soc. 222(1976), 303-318.

5.    Torsion in homotopy associative H-spaces, Illinois J. Math. 20(1976), 476-485.

6.    Torsion in the homology of H-spaces, Bull. Amer. Math. Soc. 83(1977), 1041-1042.

7.    On loop spaces without p torsion II, Pacific J. Math. 71(1977), 71-88.

8.    On spherical homology classes, Quart. J. Math. 29(1978), 57-62.

9.    The BP homology of H-spaces, Trans. Amer. Math. Soc. 241 (1978), 99-119.

10.    Rational BP operations and the Chern character, Math. Proc. Camb. Phil. Soc. 84(1978), 65-72.

11.    The module of indecomposables for mod 2 finite H-spaces, Trans. Amer. Math. Soc. 249(1979), 425-433.

12.    BP operations and Steenrod modules, Quart. J. Math. 30(1979), 455-467.

13.    BP torsion in finite H-spaces, Trans. Amer. Math. Soc. 264(1981), 473-497.

14.    Cohomology of finite H-spaces as U(M)-algebras, Part I, Math. Proc. Camb. Phil. Soc. 89(1981), 473-490.

15.    Cohomology of finite H-spaces as U(M)-algebras, Part II, Math. Proc. Camb. Phil. Soc. 90(1981), 113-125.

16.    Operations in connective K-theory, Memoirs of Amer. Math. Soc. no. 254, (1981). (102 pages)

17.    Cohomology of finite H-spaces as U(M)-algebras, Part III, Math. Proc. Camb. Phil. Soc. 94(1983), 461-471.

18.    The homotopy types of compact Lie groups, Israel J. Math. 51, 1-2(1985), 20-26. (Joint paper with J.R. Hubbuck).

19.    The extended module of indecomposables for mod 2 finite H-spaces, Trans. Amer. Math. Soc. 292,1(1985), 281-304.

20.    Implications in Morava K-theory, Memoirs Amer. Math. Soc. no. 340, (1986). (110 pages)

21.    The homology algebra of finite H-spaces, Journal of Pure and Applied Algebra 41(1986), 213-232.

22.    Spherical homology classes in the bordism of Lie groups, Canadian Journal of Mathematics 40(1988), 1331-1374. (Joint work with G. Moreno).

23.    Elementary abelian p subgroups of Lie groups, Publications of the Research Institute for Mathematical Sciences, Kyoto University 27,5(1991), 801-811. (Joint paper with D. Notbohm).

24.    Poincare duality and the ring of coinvariants, Canadian Mathematical Bulletin 37(1994), 82-88.

PAPERS IN REFEREED CONFERENCE PROCEEDINGS

25.    BP homology and finite H-spaces, Proceedings of the Canadian Mathematical Society Conference on Algebraic Topology, University of Waterloo, Waterloo, Ontario, June 1978, Springer-Verlag Lecture Notes in Mathematics, no. 673 (1978), 93-105.

26.    The mod 3 cohomology of the exceptional Lie group E8, Proceedings of the Canadian Mathematical Society Conference on Algebraic Topology, University of British Columbia, Vancouver, British Columbia, August 1977, Springer-Verlag Lecture Notes in Mathematics, no. 741 (1979), 557-587.

27.    Finite H-spaces and the Thom map for connective K-theory, Proceedings of the Canadian Mathematical Society Conference on Algebraic Topology, The University of Western Ontario, London, Ontario, June 1982, Canadian Mathematical Society Conference Lecture Note Series, 2,1(1982), 389-415.

28.    Finite H-spaces and the U(M) property, Proceedings of Canadian Mathematical Society Conference on Algebraic Topology, Memorial University, St. John's, Newfoundland, August 1983, American Mathematical Society Contemporary Mathematics Series, 37(1985), 73-85.

LECTURE NOTE SERIES

29.    The cohomology of finite H-spaces, Institut D'Estrudis Catalans Lecture Note Series. (1986), 85 pages.

BOOKS

30.    The homology of Hopf spaces, North Holland Mathematical Library, North Holland Press, Amsterdam (1988), 479 pages.

31.    Reflection groups, submitted to Canadian Mathematical Society Book Series, 480 pages.

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Last update: August 13, 1997