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Combinatorial Group Theory: Presentations of Groups in Terms of Generators and Relations
Wilhelm Magnus,A. Karrass,D. Solitar +2 more
- 01 Jan 1966
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About: The article was published on 01 Jan 1966. and is currently open access. The article focuses on the topics: Combinatorial group theory.
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Citations
The Aharonov–Bohm effect for a knotted magnetic solenoid
Roman V. Buniy,Thomas W. Kephart +1 more
TL;DR: In this article, the authors show that the linking of a semiclassical path of a charged particle with a knotted magnetic solenoid results in the Aharonov-Bohm effect, where the phase shift in the wave function is proportional to the flux intersecting a certain connected and orientable surface bounded by the knot.
10
Topology of symplectic torus actions with symplectic orbits
TL;DR: In this paper, the authors give a concise overview of the classification theory of symplectic man-ifolds equipped with torus actions for which the orbits are symplectic, and apply this theory to study the structure of the leaf space induced by the action.
Comultiplications on free groups and wedges of circles
TL;DR: In this paper, the authors show that a co-H-space structure on a wedge of circles is equivalent to a comultiplication or a cogroup structure on free groups.
Extendability, dimensions, and diagrams of cyclic orders
TL;DR: By analogy to Dushnik–Miller dimension for partial orders, for circular orders, intersection and product dimension that may differ up to a factor of two, a class of cyclic orders that allow a graphic representation similar to Hasse diagrams is studied.
10
Splittings of knot groups
TL;DR: In this article, it was shown that if a knot group is not fibered, then it is possible to split over non-free groups of arbitrarily large rank, such as groups of rank at least 2g.
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