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Details van artikel 19 van 28 gevonden artikelen
| Titel: |
On the Zeroeth Complete Cohomology of Certain Polycyclic Groups |
| Auteur: |
Dembegioti, Fotini |
| Verschenen in: |
Communications in algebra |
| Paginering: | Jaargang 36 (2008) nr. 5 pagina's 1927-1941 |
| Jaar: |
2008-05 |
| Inhoud: |
The zeroeth complete cohomology of a group G with coefficients in [image omitted], is known to carry much information about the group. Its computation is rather complicated. Kropholler (1993b) and Benson and Kropholler (1995) stated that even when G is a polycyclic by finite group, no general formula is known for [image omitted]. Here we construct a projective resolution for a class of polycyclic groups and obtain information about [image omitted], which indicates that no general formula for [image omitted] can be expected. Moreover, some groups in our class are counterexamples to a conjecture of Brown, which states that the least common multiple of the orders of the finite subgroups of a group of finite virtual cohomological dimension annihilates the complete cohomology of G. The first counterexample to this conjecture was given by Adem (1989) and more were obtained later by Adem and Carlson (1990) and Leary (1996). We obtain counterexamples that are not in those classes. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 19 van 28 gevonden artikelen
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