Groups Acting on Tensor Products

Groups preserving a distributive product are encountered often in algebra. Examples include automorphism groups of associative and nonassociative rings, classical groups, and automorphism groups of p-groups. While the great variety of such products precludes any realistic hope of describing the general structure of the groups that preserve them, it is reasonable to expect that insight may be gained from an examination of the universal distributive products: tensor products. We give a detailed description of the groups preserving tensor products over semisimple and semiprimary rings, and present effective algorithms to construct generators for these groups. We also discuss applications of our methods to algorithmic problems for which all currently known methods require an exponential amount of work. (C) 2013 Elsevier B.V. All rights reserved.

The Effect Of Social Support On Health As Moderated By Sex-Role Orientation

Previous research has established a significant association between social support and health; high levels of social support are consistently shown to both directly and indirectly improve health (Cohen, 1998, House et al. 1988, Rook, 2001, Schwarzer & Leppin 1989). Additional research has investigated the role of sex and gender differences in social support, health and the interaction between these variables (Barbee et al. 1993, Burda, Vaux & Schill 1984, Cleary, 1987, Rook, 2001, Shumaker & Hill, 1991). The present study aims to further examine the influence of sex-role orientation on social support and health. Forty-nine female participants completed a three-part survey assessing their sex-role orientation, perceived social support, current stress levels and physical health. Results revealed that both masculinity and femininity relate to social support network size and health outcomes. Masculinity and androgyny were significantly negatively associated with health problems, whereas undifferentiated individuals had higher rates of physical illness. These findings demonstrate the important role of gendered traits in social support and ultimately, physical health.