Genus and cancellation for groups with finite commutator subgroups

DOI10.1016/0022-4049(75)90002-XzbMath0318.20022OpenAlexW2064864010MaRDI QIDQ1222230

Robert B. jun. Warfield

Publication date: 1975

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(75)90002-x

Mathematics Subject Classification ID

Chains and lattices of subgroups, subnormal subgroups (20E15) Limits, profinite groups (20E18)

Related Items (20)

Non-cancellation for certain classes of groups ⋮ On genus and embeddings of torsion-free nilpotent groups of class two ⋮ Isomorphism and elementary equivalence of multilinear maps ⋮ Distinguishing arithmetic for certain stably isomorphic modules ⋮ The genus of a direct product of certain nilpotent groups with a finite nilpotent group ⋮ Genus of nilpotent groups of Hirsch length six ⋮ NON-CANCELLATION PROPERTIES FOR CERTAIN FINITELY PRESENTED GROUPS ⋮ P-équivalence de groupes nilpotents ⋮ Profinite completions and isomorphic finite quotients ⋮ Genus and cancellation ⋮ Induced Morphisms Between Localization Genera of Groups ⋮ On the genus of a nilpotent group with finite commutator subgroup. ⋮ Generalizing the Hilton-Mislin genus group ⋮ Cancellation and elementary equivalence of groups ⋮ Cancellation and Hopficity in direct products ⋮ Elementary Equivalence and Profinite Completions: A Characterization of Finitely Generated Abelian-by-Finite Groups ⋮ CONFIGURATION OF NILPOTENT GROUPS AND ISOMORPHISM ⋮ Elementary equivalence and genus of finitely generated nilpotent groups ⋮ Non-unique direct product decompositions of direct powers of certain metacyclic groups ⋮ Non-cancellation and Mislin genus of certain groups and \(H_0\)-spaces

Cites Work

• On the principal indecomposables of a modular group algebra
• On the genus of finite CW-H-spaces
• On principal \(S^ 3\)-bundles over spheres
• A generalization of quasi-Frobenius rings
• Localization and cohomology of nilpotent groups
• Cancellation in Direct Sums of Groups
• Finitely Generated Nilpotent Groups with Isomorphic Finite Quotients
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