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When is a group algebra critical? [PDF]

Siberian Mathematical Journal, 1986
Translation from Sib. Mat. Zh. 26, No.6(154), 120-125 (Russian) (1985; Zbl 0582.16001).
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On critical groups

Siberian Mathematical Journal, 1992
An elementary proof of lemma 52.23 of \textit{H. Neumann} [Varieties of groups (1967; Zbl 0251.20001)] is given, which has a central place in obtaining the fact that the identities of a finite group have a finite basis.
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On homogeneity within critical groups [PDF]

Journal of Radiological Protection, 2004
Since the 1960s, the methodology recommended by the International Commission on Radiological Protection (ICRP) for assessment of individual doses has developed significantly, yet the specific recommendations related to the characteristics of 'critical groups' for the purposes of protection of the public have been interpreted but are relatively ...
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Group and person attributions in response to criticism of the in‐group

British Journal of Social Psychology, 2002
This study examined responses to criticism of the in‐group as influenced by critic's group membership and justifiability of the criticism. Participants responded to an article in which the author criticized their school. The critic was presented as a student either at the participant's own school (the in‐group) or at a college higher or lower in status
Anne O'Dwyer, David Alfeld‐Johnson, Norman H. Berkowitz   +2 more
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The Group: An Experiment in Criticism

The Yearbook of English Studies, 1987
The Group was a collection of writers, based in London, and predominantly poets, who met each week between 1955 and 1965 to discuss one another's work. For the first four years I acted as chairman, selecting participants and making sure that they received in advance of each meeting a copy of the texts to be discussed. There was no membership fee and no
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Renormalization group and critical localization

Physical Review B, 1977
The renormalization-group (RG) method is applied to the problem of formation of a localized state of a particle moving in a given potential. It is shown that RG transformation on the particle's Green's function can be performed exactly. The fixed-point equations yield information on the critical binding strength, while the transformation equations near
Morrel H. Cohen, Abraham Nitzan, Abraham Nitzan, Karl F. Freed   +3 more
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Critical degenerate inequalities¶on the Heisenberg group

manuscripta mathematica, 2001
The author obtains necessary conditions for the existence of (signed) weak solutions for the singular inequalities on the Heisenberg group: \({{-| \xi| ^2_{H}}\over {\psi}} \Delta_H (au) \geq | u| ^q,\) on \(I\!\! H^n \setminus\{0\}\) \; \(u_t -{{| \xi| ^2_{H}}\over {\psi}} \Delta_H (au) \geq | u| ^q,\) and \(u_{tt} -{{| \xi| ^2_{H}}\over {\psi ...
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Morse Theory and Critical Groups

2019
Let H be a Hilbert space with inner product \((\cdot ,\cdot )_H\) and let \(\varphi \in C^2(H)\). By \(\varphi '(\cdot )\) we denote the Frechet derivative of \(\varphi \) and by \(\nabla \varphi (\cdot )\) its gradient, that is, \(\nabla \varphi (u)\in H\) for every \(u\in H\) and.
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš   +2 more
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Critical Service Learning and Group

2018
Critical service learning (CSL) emphasizes that youth become empowered to see themselves as partners with others to bring about change in their environments (Muscott, 2000). The nature of CSL evokes youth voice and choice in the application of cognitive, social, and emotional skills to everyday situations.
Annette Johnson, Cassandra McKay-Jackson, Giesela Grumbach   +2 more
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The critical groups of the Peisert graphs

Journal of Algebraic Combinatorics, 2017
The critical group of a finite graph is an abelian group defined by the Smith normal form of the Laplacian. We determine the critical groups of the Peisert graphs, a certain family of strongly regular graphs similar to, but different from, the Paley graphs. It is further shown that the adjacency matrices of the two graphs defined over a field of order
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