We use group representation theory to study free actions by finite groups on spaces with nonzero Euler characteristic. The main results are: (i) a sharp lower bound on the dimension of QH\*(X; Q) if X is a finite CW-complex with nonzero Euler characteristic admitting a free action by a finite Abelia
β¦ LIBER β¦
On polyhedra with extremal Euler characteristic
β Scribed by H Hadwiger; P Mani
- Book ID
- 103505789
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 201 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0097-3165
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We show that in an arbitrary o-minimal structure the following are equivalent: (i) conjugates of a definable subgroup of a definably connected, definably compact definable group cover the group if the o-minimal Euler characteristic of the quotient is non zero; (ii) every infinite, definably connecte