Small sets without unique products in torsion-free groups

Pace P. Nielsen, Lindsay Soelberg

Type: Article

Publication Date: 2023-09-04

Citations: 0

DOI: https://doi.org/10.1142/s0219498825500501

View Publication

Locations

Journal of Algebra and Its Applications - View

Similar Works

Action	Title	Year	Authors
+	New Examples of Torsion-Free Non-unique Product Groups	2013	William Carter
+	New Examples of Torsion-Free Non-unique Product Groups	2013	William Carter
+ PDF Chat	New examples of torsion-free non-unique product groups	2013	William Carter
+	Finding Torsion-free Groups Which Do Not Have the Unique Product Property	2018	Lindsay Jennae Soelberg
+ PDF Chat	Cardinality of product sets in torsion-free groups and applications in group algebras	2019	Aliréza Abdollahi Fatemeh Jafari
+	Cardinality of product sets in torsion-free groups and applications in group algebras	2018	Aliréza Abdollahi Fatemeh Jafari
+	Cardinality of product sets in torsion-free groups and applications in group algebras	2018	Aliréza Abdollahi Fatemeh Jafari
+	Rips construction without unique product	2014	Goulnara Arzhantseva Markus Steenbock
+	Rips construction without unique product	2014	Goulnara Arzhantseva Markus Steenbock
+ PDF Chat	Rips construction without unique product	2023	Goulnara Arzhantseva Markus Steenbock
+ PDF Chat	On zero-divisors and units in group rings of torsion-free CAT$(0)$ groups	2025	Manoj Garg Igor Mineyev
+	Rips–Segev torsion-free groups without the unique product property	2015	Markus Steenbock
+ PDF Chat	None	2023
+	On Subsets with Small Product in Torsion-Free Groups	1998	Yahya Ould Hamidoune Anna Lladó Oriol Serra
+ PDF Chat	Generalized torsion elements in infinite groups	2024	Raimundo Bastos Luís Mendonça
+	Dehn Functions of the Stallings-Bieri Groups and Constructions of Non-Unique Product Groups	2015	William Carter
+	Torsion-free group without unique product property	1987	Eliyahu Rips Yoav Segev
+	On a product of finite subsets in a torsion-free group	1990	L. Brailovsky Gregory A. Freiman
+ PDF Chat	Non-noetherian groups and primitivity of their group algebras	2016	James Alexander Tsunekazu Nishinaka
+ PDF Chat	Zero divisors and units with small supports in group algebras of torsion-free groups	2017	Aliréza Abdollahi Zahra Taheri

Works That Cite This (0)

Action	Title	Year	Authors

Works Cited by This (11)

Action	Title	Year	Authors
+	K0 and noetherian group rings	1976	Daniel R. Farkas Robert L. Snider
+	Torsion-free group without unique product property	1987	Eliyahu Rips Yoav Segev
+ PDF Chat	A Remark on the Group Rings of Order Preserving Permutation Groups	1968	Robert LaGrange A. H. Rhemtulla
+ PDF Chat	The zero divisor question for supersolvable groups	1973	Edward Formanek
+	On Zero Divisors in Group Rings	1976	Kenneth A. Brown
+	A Simple Example of a Torsion-Free, Non Unique Product Group	1988	S. David Promislow
+	Zero divisors in group rings	1974	Joel M. Cohen
+ PDF Chat	Zero divisors and units with small supports in group algebras of torsion-free groups	2017	Aliréza Abdollahi Zahra Taheri
+ PDF Chat	New examples of torsion-free non-unique product groups	2013	William Carter
+ PDF Chat	A counterexample to the unit conjecture for group rings	2021	G. E. Gardam