대한수학회보 (Bulletin of the Korean Mathematical Society)
- 제33권2호
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- Pages.253-258
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- 1996
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
Nilpotent action by an elementary amenable group and euler characteristic
- Lee, Jong-Bum (Department of Mathematics, Sogang University, Seoul 121-742) ;
- Park, Cnah-Young (Department of Mathematics, Kyungpook National University, Taegu 702-701)
- 발행 : 1996.05.01
초록
Let X be a finite connected CW-complex, $\Gamma = \pi_1(X)$ its fundamental group, $\tilde{X}$ its universal covering space. Then $\Gamma$ acts on $\tilde{X}$ by covering transformations and on the homology group $H_*(\tilde{X})$. In this note we establish the following vanishing result for the Euler characteristic $x(X)$ of X.