Star group identities on units of group algebras

Author(s):  
C. Polcino Milies
2018 ◽  
Vol 30 (1) ◽  
pp. 213-225
Author(s):  
Antonio Giambruno ◽  
Cesar Polcino Milies ◽  
Sudarshan K. Sehgal

Abstract Let G be a group, F a field and FG the corresponding group algebra. We consider an involution on FG which is the linear extension of an involution of G, e.g., {g^{*}=g^{-1}} for {g\in G} . This paper is focused on the characterization of a non-torsion group G provided the group of units {U(FG)} satisfies a {*} -group identity. The torsion case was studied in [7], and when {*} is the classical involution, this problem was solved in the case of symmetric units in [21].


2010 ◽  
Vol 95 (6) ◽  
pp. 501-508 ◽  
Author(s):  
Antonio Giambruno ◽  
César Polcino Milies ◽  
Sudarshan K. Sehgal
Keyword(s):  

2000 ◽  
Vol 226 (1) ◽  
pp. 488-504 ◽  
Author(s):  
A. Giambruno ◽  
S.K. Sehgal ◽  
A. Valenti

2014 ◽  
Author(s):  
Asaf Dustin Beasley ◽  
Winter Mason
Keyword(s):  

Author(s):  
James L. Gibson ◽  
Michael J. Nelson

Despite popular reports that the legal system is in a state of crisis with respect to its African American constituents, research on black public opinion in general is limited owing to the difficulty and expense of assembling representative samples of minorities. We suspect that the story of lagging legal legitimacy among African Americans is in fact quite a bit more nuanced than is often portrayed. In particular, black public opinion is unlikely to be uniform and homogeneous; black people most likely vary in their attitudes toward law and legal institutions. Especially significant is variability in the experiences—personal and vicarious—black people have had with legal authorities (e.g., “stop-and-frisk”), and the nature of individuals’ attachment to blacks as a group (e.g., “linked fate”). We posit that both experiences and in-group identities are commanding because they influence the ways in which black people process information, and in particular, the ways in which blacks react to the symbols of legal authority (e.g., judges’ robes).


2019 ◽  
Vol 19 (02) ◽  
pp. 2050036
Author(s):  
Morteza Baniasad Azad ◽  
Behrooz Khosravi

In this paper, we prove that the direct product [Formula: see text], where [Formula: see text] are distinct numbers, is uniquely determined by its complex group algebra. Particularly, we show that the direct product [Formula: see text], where [Formula: see text]’s are distinct odd prime numbers, is uniquely determined by its order and three irreducible character degrees.


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