Cohomological Finiteness Properties of Groups
Simon St John-Green
TL;DR
This thesis investigates the cohomological finiteness properties of infinite discrete groups, providing new insights into their algebraic and topological structure, with results that relate to several prior arXiv publications.
Contribution
It offers a comprehensive study of cohomological finiteness conditions for infinite groups, advancing understanding of their algebraic properties and connections to topological invariants.
Findings
Characterization of cohomological finiteness conditions
Connections between algebraic and topological properties of groups
Extensions of known finiteness results to broader classes of groups
Abstract
PhD thesis concerning cohomological finiteness conditions of infinite discrete groups. Much of the material in this thesis has also appeared in arXiv:1311.7629, arXiv:1310.6262, arXiv:1311.6156, and arXiv:1207.1597.
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Taxonomy
TopicsMatrix Theory and Algorithms · Advanced Topics in Algebra · Algebraic structures and combinatorial models