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Publications and Preprints
1. Free group actions on spaces homotopy equivalent to a sphere (with K. Y. Ha, J. B. Lee), Composito Mathematica, 120(3), (2000), 327~333 . 2. Classification of free actions of finite groups on the 3-torus(II) (with K. Y. Ha, S. W. Kim, J. B. Lee), JP Jour. Geometry and Topology 1(1), (2001), 111~133. 3. Classification of free actions of finite groups on the 3-torus (with K. Y. Ha, S. W. Kim, J. B. Lee), Topology Appl. 121(2002), no.3, 469~507. 4. Projective complete cohomological dimension of a group, Int. Math. Res. Not. (2004), no. 13, 621~636. 5. Multiple complexes and gaps in Farrell cohomology, J. Pure App. Algebra 194(2004), 147~158. 6. Varieties of nilpotent elements for simple Lie algebras. I. Good primes (with the University of Georgia VIGRE Algebra Group), J. Algebra 280(2004), 719~737. 7. On the asphericity of certain 2-complexes (with J. B. Lee), Indian J. Pure Appl. Math. 36(2005), 3~10. 8. Varieties of nilpotent elements for simple Lie algebras II: bad primes (with the University of Georgia VIGRE Algebra Group), J. Algebra 292(2005), 65~99. 9. Infinite-dimensional homotopy space forms (with J. B. Lee), Forum Math. 18(2006), 305~322. 10. Support varieties for Weyl modules over bad primes (with the University of Georgia VIGRE Algebra Group), J. Algebra 312(2007), 602~633. 11. A criterion for projective modules Comm. Alg. 35(2007), 1577~1587. 12. On vanishing of L^2-betti numbers for groups, J. Math. Soc. Japan 59(2007), 1~14. 13. Vanishing results for L^2-Betti numbers and L^2-Euler characteristics and their applications, Internat. J. Math. 19(2008), 21 ~ 26. 14. Periodic cohomology and subgroups with bounded Bredon cohomological dimension (with B.E.A. Nucinkis), Math. Proc. Cambridge Philos. Soc.
144(2008), 329~336. 15. Complete homology and the related dimensions of a group, submitted. 16. Periodic cohomology and projective complete cohomological dimension of a group, submitted. 17. Group extensions and free actions by finite groups on solvmanifolds (with J. B. Lee), submitted. 18. Atiyah's theorem, Kan-Thurston construction, and Weak Bass Conjecture, submitted. 19. On groups of type L^-1, submitted.
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