NEW INVARIANTS FOR GROUPS
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Publication:4786321
DOI10.1142/S0218196702000936zbMath1083.20506OpenAlexW1970231532MaRDI QIDQ4786321
D. A. Cruickshank, Stephen J. Pride
Publication date: 15 December 2002
Published in: International Journal of Algebra and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218196702000936
relationspresentationsinvariantsgeneratorsfree modulesprojective resolutionsaugmentation idealsFitting idealsFox derivativesAlexander ideals
Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05)
Cites Work
- An infinite-dimensional torsion-free \(\text{FP}_{\infty}\) group
- On Dehn's lemma and the asphericity of knots
- Complete rewriting systems and homology of monoid algebras
- The topology of discrete groups
- Amenable groups and Euler characteristic
- Euler characteristics of discrete groups and G-spaces
- Exact sequences associated with a graph of groups
- Every connected space has the homology of a \(K\) \((\pi,1)\)
- Cohomology theory of aspherical groups and of small cancellation groups
- Groups with no infinite perfect subgroups and aspherical 2-complexes
- \(L^ 2\)-Betti numbers of mapping tori and groups
- Ideals of minors in free resolutions
- Morse theory and finiteness properties of groups
- Endomorphisms of finitely generated projective modules over a commutative ring
- Minimal resolutions for finite groups
- Centerless groups -- an algebraic formulation of Gottlieb's theorem
- On the algebraical braid group
- Cohomology theory of groups with a single defining relation
- Free differential calculus. II: The isomorphism problem of groups
- On the Asphericity of Length Five Relative Group Presentations
- On the Asphericity of Length Four Relative Group Presentations
- A Monoid which is Right FP ∞ but not Left FP 1
- A Short Proof of a Theorem of Kan and Thurston
- Aspherical relative presentations
- A Remark on Groups with Trivial Multiplicator
- The geometry of group extensions
- On the Left and Right Cohomological Dimension of Monoids
- On the asphericity of one-relator relative presentations
- On the Efficiency of Coxeter Groups
- LOW-DIMENSIONAL HOMOTOPY THEORY FOR MONOIDS
- Rank Element of a Projective Module
- Left and right inverses in group algebras
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