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Groups And Semigroups Generated By Automata, David Mccune May 2011

Groups And Semigroups Generated By Automata, David Mccune

Department of Mathematics: Dissertations, Theses, and Student Research

In this dissertation we classify the metabelian groups arising from a restricted class of invertible synchronous automata over a binary alphabet. We give faithful, self-similar actions of Heisenberg groups and upper triangular matrix groups. We introduce a new class of semigroups given by a restricted class of asynchronous automata. We call these semigroups ``expanding automaton semigroups''. We show that this class strictly contains the class of automaton semigroups, and we show that the class of asynchronous automaton semigroups strictly contains the class of expanding automaton semigroups. We demonstrate that undecidability arises in the actions of expanding automaton semigroups and semigroups …


A School-Based Intervention To Promote Physical Activity Among Adolescent Girls: Rationale, Design, And Baseline Data From The Girls In Sport Group Randomised Controlled Trial, Anthony D. Okely, Wayne G. Cotton, David R. Lubans, Philip J. Morgan, Lauren M. Puglisi, Judy Miller, Jan Wright, Marijka Batterham, Louisa Peralta, Janine Perry Jan 2011

A School-Based Intervention To Promote Physical Activity Among Adolescent Girls: Rationale, Design, And Baseline Data From The Girls In Sport Group Randomised Controlled Trial, Anthony D. Okely, Wayne G. Cotton, David R. Lubans, Philip J. Morgan, Lauren M. Puglisi, Judy Miller, Jan Wright, Marijka Batterham, Louisa Peralta, Janine Perry

Faculty of Education - Papers (Archive)

Background: Physical activity levels decline markedly among girls during adolescence. School-based interventions that are multi-component in nature, simultaneously targeting curricular, school environment and policy, and community links, are a promising approach for promoting physical activity. This report describes the rationale, design and baseline data from the Girls in Sport group randomised trial, which aims to prevent the decline in moderate-to-vigorous intensity physical activity (MVPA) among adolescent girls. Methods/design: A community-based participatory research approach and action learning framework are used with measurements at baseline and 18-month follow-up. Within each intervention school, a committee develops an action plan aimed at meeting the …