Cardinality of product sets in torsion-free groups and applications in group algebras

DOI10.1142/S0219498820500796zbMath1506.20068arXiv1808.08708WikidataQ114614687 ScholiaQ114614687MaRDI QIDQ5113153

Alireza Abdollahi, Fatemeh Jafari

Publication date: 2 June 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.08708

zbMATH Keywords

group algebrasumsetproduct of setstorsion-free groupunique product group

Mathematics Subject Classification ID

Group rings (16S34) General structure theorems for groups (20E34) Generators, relations, and presentations of groups (20F05) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Additive bases, including sumsets (11B13) Inverse problems of additive number theory, including sumsets (11P70)

Related Items

Small doubling in $m$-Engel groups

Uses Software

• GAP

Cites Work

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