A nilpotent quotient algorithm for finitely presented associative ℤ-algebras and its application to integral group rings

DOI10.1090/conm/754/15144zbMath1485.16045OpenAlexW3046838777MaRDI QIDQ4998644

Bettina Eick, Tobias Moede

Publication date: 9 July 2021

Published in: 75 Years of Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/754/15144

zbMATH Keywords

\(\mathbb{Z}\)-algebrasnilpotent presentation

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Computational aspects of associative rings (general theory) (16Z05) Software, source code, etc. for problems pertaining to associative rings and algebras (16-04) Filtered associative rings; filtrational and graded techniques (16W70)

Related Items (1)

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

Uses Software

• GAP
• ZAlgs

Cites Work

• Computing automorphism groups and testing isomorphisms for modular group algebras.
• The periodicity in the graded ring associated with an integral group ring
• On the Structure of Augmentation Quotient Groups for the Generalized Quaternion Group
• On the structure of the augmentation quotient group for some nonabelian 2-groups
• COMPUTING NILPOTENT QUOTIENTS OF ASSOCIATIVE ALGEBRAS AND ALGEBRAS SATISFYING A POLYNOMIAL IDENTITY
• The Augmentation Quotients of the Groups of Order 2⁵, II
• Unnamed Item
• Unnamed Item

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