Identifications in a free group
نویسندگان
چکیده
منابع مشابه
Identifications in Modular Group Algebras
Let G be a group, S a subgroup of G, and F a field of characteristic p. We denote the augmentation ideal of the group algebra FG by ω(G). The Zassenhaus-Jennings-Lazard series of G is defined by Dn(G) = G ∩ (1 + ω(G)). We give a constructive proof of a Theorem of Quillen stating that the graded algebra associated to FG is isomorphic as an algebra to the enveloping algebra of the restricted Lie ...
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A robust relationship between perceived racial discrimination and psychological distress has been established. Yet, mixed evidence exists regarding the extent to which ethnic identification moderates this relationship, and scarce attention has been paid to the moderating role of national identification. We propose that the role of group identifications in the perceived discrimination-psychologi...
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An algorithm is constructed that decides if a given finite system of equations over a free Q-group has a solution, and if it does, finds a solution. 0. Introduction Systems of equations over a group have been widely studied (see, for instance, [4],[5],[11]). This is currently one of the main streams of combinatorial group theory. The problem of deciding if a system of equations in a group has a...
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In the variety of all groups, A. I. Mal’cev [5] proved in 1949 that the free product of two residually torsion-free nilpotent groups is again residually torsion-free nilpotent. This paper is motivated by the analogous question in the variety of metabelian groups: can we determine whether free metabelian products of residually torsion-free nilpotent metabelian groups are residually torsion-free ...
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We investigated the relationship between group identification (with the family, school, and friendship groups) and adolescent health behaviour (smoking, binge drinking, and cannabis use). 1,111 students from 4 Scottish secondary (high) schools completed a questionnaire which included measures of group identification, group contact, health behaviours, and demographic variables. We found that ide...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1987
ISSN: 0022-4049
DOI: 10.1016/0022-4049(87)90113-7