Rational Group Algebras of Finite Groups: From Idempotents to Units of Integral Group Rings

Eric Jespers, Gabriela Olteanu, Ángel del Rı́o

Type: Article

Publication Date: 2010-11-12

Citations: 17

DOI: https://doi.org/10.1007/s10468-010-9244-4

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arXiv (Cornell University) - View - PDF
Algebras and Representation Theory - View

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Works That Cite This (17)

Action	Title	Year	Authors
+ PDF Chat	Rational group algebras of generalized strongly monomial groups: Primitive idempotents and units	2024	Gurmeet K. Bakshi Jyoti Garg Gabriela Olteanu
+	Quadratic forms in characteristic 2 and a Wedderburn decomposition over rationals	2018	Dilpreet Kaur Amit Kulshrestha
+	Group rings of finite strongly monomial groups: Central units and primitive idempotents	2013	Eric Jespers Gabriela Olteanu Ángel del Rı́o Inneke Van Gelder
+	Finite group algebras of nilpotent groups: A complete set of orthogonal primitive idempotents	2010	Inneke Van Gelder Gabriela Olteanu
+ PDF Chat	Describing units of integral group rings up to commensurability	2014	Florian Eisele Ann Kiefer Inneke Van Gelder
+	On the index of a free abelian subgroup in the group of central units of an integral group ring	2015	Gurmeet K. Bakshi Sugandha Maheshwary
+	Extremely strong Shoda pairs with GAP	2015	Gurmeet K. Bakshi Sugandha Maheshwary
+	On matrix units of semisimple group algebras	2023	Gabriela Olteanu Inneke Van Gelder
+ PDF Chat	From the Poincaré Theorem to generators of the unit group of integral group rings of finite groups	2014	Eric Jespers S. O. Juriaans Ann Kiefer A. de A. e Silva A. C. Souza Filho
+	Primitive decompositions of idempotents of the group algebras of dihedral groups and generalized quaternion groups	2024	Lilan Dai Yunnan Li

Works Cited by This (35)

Action	Title	Year	Authors
+	Topics in Group Rings	1978	Sudarshan K. Sehgal
+	Character Theory of Finite Groups	1998	Bertram Huppert
+ PDF Chat	Central units of integral group rings of nilpotent groups	1996	Eric Jespers M. M. Parmenter S. K. Sehgal
+ PDF Chat	Constructing free subgroups of integral group ring units	1997	Zbigniew Marciniak Sudarshan K. Sehgal
+	The algebraic theory of quadratic forms	1973	T. Y. Lam
+	The Algebraic Structure of Group Rings	1977	D. S. Passman
+	Central Idempotents and Units in Rational Group Algebras of Alternating Groups	1998	Antonio Giambruno Eric Jespers
+ PDF Chat	Torsion units in integral group rings	1994	A. Valenti
+	Groups of units of integral group rings commensurable with direct products of free-by-free groups	2007	Eric Jespers Antonio Pita Ángel del Rı́o Manuel Ruiz Marín Pavel Zalesskii
+	Embedding free products in the unit group of an integral group ring	2004	J. Z. Gon�alves D. S. Passman