Results 231 to 240 of about 611,350 (278)

Group Theory in Geometrical Optics

Japanese Journal of Applied Physics, 1978
We show under what conditions the transformations in the paraxial region from the object space to the image space by combination of lenses in air forms a continuous group. First the case of a single lens is treated. Here the concept of the middle point and its shift is introduced. Using this, the condition to form a group is obtained. Next, the case of
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Geometric Structures in Group Theory

2013
The overall theme of the conference was geometric group theory, interpreted quite broadly. In general, geometric group theory seeks to understand algebraic properties of groups by studying their actions on spaces with various topological and geometric properties; in particular these spaces must have enough structure-preserving symmetry to admit ...
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Geometric characterizations in finite group theory

1974
Over the past several years one may be able to observe an increasing trend to use purely geometric arguments in the proofs of theorems in the theory of finite groups. The idea is a simple one. In the course of proving a theorem about finite groups, one displays some geometric configuration built out of a finite group G. He then proceeds to characterize
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Topics in geometric group theory

2012
This document contains results in a couple of nonrelated areas of geometric group theory. What follows are abstracts for each part. Let Mi and Ni be path-connected locally uniquely geodesic metric spaces that are not points and f : ?mi=1Mi ? ?ni=1 Ni be an isometry where ?ni=1 Ni and ?mi=1Mi are given the sup metric.
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Group theory and geometric psychology

Behavioral and Brain Sciences, 2001
The commentary is in general agreement with Roger Shepard's view of evolutionary internalization of certain procedural memories, but advocates the use of Lie groups to express the invariances of motion and color perception involved. For categorization, the dialectical pair is suggested. [Barlow; Hecht; Kubovy & Epstein; Schwartz; Shepard; Todorovič]
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Geometric Methods in Group Theory

2005
This volume presents articles by speakers and participants in two AMS special sessions, Geometric Group Theory and Geometric Methods in Group Theory, held respectively at Northeastern University (Boston, MA) and at Universidad de Sevilla (Spain).
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Geometric and Cohomological Group Theory

2017
This volume provides state-of-the-art accounts of exciting recent developments in the rapidly-expanding fields of geometric and cohomological group theory. The research articles and surveys collected here demonstrate connectsions to such diverse areas as geometric and low-dimensional topology, analysis, homological algebra and logic.
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Geometric Structures in Group Theory

2017
Geometric group theory has natural connections and rich interfaces with many of the other major fields of modern mathematics. The basic motif of the field is the construction and exploration of actions by infinite groups on spaces that admit further structure, with an emphasis on geometric structures of different sorts: one usually seeks actions in ...
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Geometric Group Theory Down Under

1999
The topology of polynomial varieties, B. Berceanu finiteness length and connectivity length for groups, R. Bieri convergence groups and configuration spaces, B.H. Bowditch groups, semigroups and finite presentations, C.M. Campbell et al conformal modulus -the graph paper invariant or the conformal shape of an algorithm, J.W. Cannon et al injectivity of
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GEOMETRIC K-THEORY FOR LIE GROUPS AND FOLIATIONS

2000
This paper is a printed version of a preprint circulated in 1982 with some updated remarks and an extensive updated reference list appended at the end. It outlines with some details a geometrically defined \(K\)-theory involving group (or groupoid) actions, and proposes some important hard (and famous since then) conjectures.
Baum, Paul, Connes, Alain
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