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11 results on '"John Bamberg"'

6. Synchronising primitive groups of diagonal type exist

Author

Jesse Lansdown, Gordon Royle, Michael Giudici, and John Bamberg

Subjects
General Mathematics, FOS: Mathematics, Group Theory (math.GR), Mathematics - Group Theory, 20B15, 05E30
Abstract

Every synchronising permutation group is primitive and of one of three types: affine, almost simple, or diagonal. We exhibit the first known example of a synchronising diagonal type group. More precisely, we show that $\mathrm{PSL}(2,q)\times \mathrm{PSL}(2,q)$ acting in its diagonal action on $\mathrm{PSL}(2,q)$ is separating, and hence synchronising, for $q=13$ and $q=17$. Furthermore, we show that such groups are non-spreading for all prime powers $q$.

Published
2022
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9. Simpler foundations for the hyperbolic plane

Author

John Bamberg and Tim Penttila

Subjects
Applied Mathematics, General Mathematics
Abstract

H. L. Skala (1992) gave the first elegant first-order axiom system for hyperbolic geometry by replacing Menger’s axiom involving projectivities with the theorems of Pappus and Desargues for the hyperbolic plane. In so doing, Skala showed that hyperbolic geometry is incidence geometry. We improve upon Skala’s formulation by doing away with Pappus and Desargues altogether, by substituting for them two simpler axioms.

Published
2023
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11. [Innovative noninvasive gait-synchronized vibrotactile feedback system : "I can feel myself walking again"].

Author

Kalff MN, Witowski V, Hoursch V, Kirsten N, Niehage L, Kramer H, Gardetto A, Sehmisch S, and Ernst J

Subjects
Humans, Walking physiology, Feedback, Sensory physiology, Equipment Design, Amputation, Surgical rehabilitation, Vibration therapeutic use, Gait physiology, Touch physiology
Abstract

Despite intensive research and development of systems for restoration of sensory information, these have so far only been the subject of study protocols. A new noninvasive feedback system translates pressure loads on the forefoot and hindfoot into gait-synchronized vibrotactile stimulation of a defined skin area. To increase the authenticity, this treatment can be supplemented by a surgical procedure. Targeted sensory reinnervation (TSR) describes a microsurgical procedure in which a defined skin area on the amputated stump of the residual limb is first denervated and then reinnervated by a specific, transposed sensory nerve harvested from the amputated part of the limb. This creates a sensory interface at the residual stump. This article presents the clinical and orthopedic technical treatment pathway with this innovative vibrotactile feedback system and explains in detail the surgical procedure of TSR after amputation of the lower limb., (© 2024. The Author(s), under exclusive licence to Springer Medizin Verlag GmbH, ein Teil von Springer Nature.)

Published
2024
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