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"Groups"
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In search of synergy in small group performance
\"This volume critically evaluates more than a century of empirical research on the effectiveness of small, task-performing groups, and offers a fresh look at the costs and benefits of collaborative work arrangements. The central question taken up by this book is whether - and under what conditions - interaction among group members leads to better performance than would otherwise be achieved simply by combining the separate efforts of an equal number of people who work independently. This question is considered with respect to a range of tasks (idea-generation, problem solving, judgment, and decision-making) and from several different process perspectives (learning and memory, motivation, and member diversity).\" \"As a framework for assessing the empirical literature, the book introduces the concept of 'synergy'. Synergy refers to an objective gain in performance that is attributable to group interaction. Further, it distinguishes between weak and strong synergy, which are performance gains of different magnitude. The book highlights the currently available empirical evidence for both weak and strong synergy, identifies the conditions that seem necessary to produce each, and suggests where the search for synergy might best be directed in the future.\" \"The book is at once a high-level introduction to the field, a review of the field's history, and a scholarly critique of the current state-of-the-art. As such, it is essential reading for graduate students, advanced undergraduate students, and researchers interested in group dynamics generally - and small group performance in particular.\"--BOOK JACKET.
Computational aspects of discrete subgroups of Lie groups : Virtual Conference Computational Aspects of Discrete Subgroups of Lie Groups, June 14-18, 2021, Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island
by
Virtual Conference on Computational Aspects of Discrete Subgroups of Lie Groups
,
Kapovich, Michael
,
Schwartz, Richard Evan
in
Computer algorithms
,
Computer algorithms -- Congresses
,
Computer science -- Algorithms -- Symbolic computation and algebraic computation msc
2023
This volume contains the proceedings of the virtual workshop on Computational Aspects of Discrete Subgroups of Lie Groups, held from June 14 to June 18, 2021, and hosted by the Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island.The major theme deals with a novel domain of computational algebra: the design, implementation, and application of algorithms based on matrix representation of groups and their geometric properties. It is centered on computing with discrete subgroups of Lie groups, which impacts many different areas of mathematics such as algebra, geometry, topology, and number theory. The workshop aimed to synergize independent strands in the area of computing with discrete subgroups of Lie groups, to facilitate solution of theoretical problems by means of recent advances in computational algebra.
Symbolic Extensions of Amenable Group Actions and the Comparison Property
by
Downarowicz, Tomasz
,
Zhang, Guohua
in
Group actions (Mathematics)
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Symbolic dynamics
,
Tiling (Mathematics)
2023
In topological dynamics, the
Of course, the statement is preceded by the
presentation of the concepts of an entropy structure and its superenvelopes, adapted from the case of
The Irreducible Subgroups of Exceptional Algebraic Groups
2021
This paper is a contribution to the study of the subgroup structure of exceptional algebraic groups over algebraically closed fields
of arbitrary characteristic. Following Serre, a closed subgroup of a semisimple algebraic group
A result of Liebeck and Testerman shows that each irreducible connected subgroup
The state and civil society : regulating interest groups, parties, and public benefit organizations in contemporary democracies
by
Bolleyer, Nicole, author
in
Pressure groups Law and legislation.
,
Public interest groups Law and legislation.
,
State, The.
2018
\"State regulation of civil society is expanding yet widely contested, often portrayed as illegitimate intrusion. Despite ongoing debates about the nature of state-voluntary relations in various disciplines, we know surprisingly little about why long-lived democracies adopt more or less constraining legal approaches in this sphere, in which state intervention is generally considered contentious. Drawing on insights from political science, sociology, comparative law as well as public administration research, this book addresses this important question, conceptually, theoretically, and empirically. It addresses the conceptual and methodological challenges related to developing systematic, comparative insights into the nature of complex legal environments affecting voluntary membership organizations, when simultaneously covering a wide range of democracies and the regulation applicable to different types of voluntary organizations. Proposing the analytical tools to tackle those challenges, it studies in-depth the intertwining and overlapping legal environments of political parties, interest groups, and public benefit organizations across 19 long-lived democracies. After presenting an innovative interdisciplinary theoretical framework theorizing democratic states' legal disposition towards, or their disinclination against, regulating voluntary membership organizations in a constraining or permissive fashion, this framework is empirically tested. Applying Qualitative Comparative Analysis (QCA), the comparative analysis identifies three main 'paths' accounting for the relative constraints in the legal environments democracies have created for organized civil society, defined by different configurations of political systems' democratic history, their legal family, and voluntary sector traditions\"-- Provided by publisher.
Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups
2022
A characterization is given for the factorizations of almost simple groups with a solvable factor. It turns out that there are only
several infinite families of these nontrivial factorizations, and an almost simple group with such a factorization cannot have socle
exceptional Lie type or orthogonal of minus type. The characterization is then applied to study