Nilpotent Quotients of Associative $$\mathbb {Z}$$-Algebras and Augmentation Quotients of Baumslag-Solitar Groups

DOI10.1007/978-3-030-52200-1_12OpenAlexW3042028925MaRDI QIDQ5039563

Tobias Moede

Publication date: 13 October 2022

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-52200-1_12

zbMATH Keywords

computer algebraassociative algebrasaugmentation quotientsnilpotent quotient algorithm

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Group rings (16S34) Computational aspects of associative rings (general theory) (16Z05)

Uses Software

• Unnamed Item

Cites Work

• Isomorphism of the Baumslag-Solitar groups
• The periodicity in the graded ring associated with an integral group ring
• Some two-generator one-relator non-Hopfian groups
• A nilpotent quotient algorithm for finitely presented associative ℤ-algebras and its application to integral group rings

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