Algebraic K-theory of group rings and the cyclotomic trace map
We prove that the Farrell-Jones assembly map for connective algebraic K-theory is rationally injective, under mild homological finiteness conditions on the group and assuming that a weak version of the Leopoldt-Schneider conjecture holds for cyclotomic ...
Lueck, Wolfgang +3 more
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Exploiting Metacognitive Networks Embedded in Narrative Focus Group Interviews Using NodeXL [PDF]
Development of metacognitive theory for changing pedagogy remains an essential research activity. A lack of sufficient clear-cut qualitative analysis procedures extracting embedded metacognitive constructs from qualitative data (e.g., narrative focus ...
Jagals, Divan +1 more
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Mathematics and group theory in music
The purpose of this paper is to show through particular examples how group theory is used in music. The examples are chosen from the theoretical work and from the compositions of Olivier Messiaen (1908-1992), one of the most influential twentieth century composers and pedagogues. Messiaen consciously used mathematical concepts derived from symmetry and
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SciSports: Learning football kinematics through two-dimensional tracking data [PDF]
SciSports is a Dutch startup company specializing in football analytics. This paper describes a joint research effort with SciSports, during the Study Group Mathematics with Industry 2018 at Eindhoven, the Netherlands.
Babic, Anatoliy +9 more
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A Mathematical Theory of Interpersonal Interactions and Group Behavior
Emergent collective group processes and capabilities have been studied through analysis of transactive memory, measures of group task performance, and group intelligence, among others. In their approach to collective behaviors, these approaches transcend traditional studies of group decision making that focus on how individual preferences combine ...
Bar-Yam, Yaneer, Kantor, David
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Quasirandomness in discrete mathematics, additive combinatorics and group theory
The main objective of this bachelor's thesis will be to present the concept of quasirandomness in various mathematical contexts while proving all the pertinent results. We will introduce the results of Fan Chung and Ronald Graham on quasirandom graphs and quasirandom sets, and the results of Timothy Gowers on quasirandom groups.
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Topological Equivalence of Linear Representations for Cyclic Groups, I & II
In the two parts of this paper we solve a problem of De Rham, proving that Reidemeister torsion invariants determine topological equivalence of linear G-representations, for G a finite cyclic group.
Hambleton, Ian, Pedersen, Erik K.
core
Mathematical components for groups theory
Formal proof systems have evolved considerably in recent years. Success stories like formal proofs of the four color theorem or the prime numbers theorem have shown that formal proof systems have reached a level of maturity that enables them to tackle non-trivial mathematical problems.
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GROUP THEORY FOR TEACHERS OF ELEMENTARY MATHEMATICS [PDF]
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The relationship between intellectual curiosity and adolescents' mathematical problem-solving ability: A moderated mediation model. [PDF]
Wang Y, Zhou L, Xie B, Wang L, Jin H.
europepmc +1 more source

