Euler Characteristics on virtually free products |
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| Authors: | Konstantinos Tsouvalas |
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| Institution: | Department of Mathematics, University of Michigan, Ann Arbor, MI, USA |
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| Abstract: | We define Euler characteristics on classes of residually finite and virtually torsion free groups and we show that they satisfy certain formulas in the case of amalgamated free products and HNN extensions over finite subgroups. These formulas are obtained from a general result which applies to the rank gradient and the first L2?Betti number of a finitely generated group. |
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| Keywords: | Euler characteristics first L2?Betti number rank gradient residually finite groups virtually torsion free groups |
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