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On the Geometry of Groups of Heisenberg Type

✍ Scribed by Kaplan, A.


Book ID
118161864
Publisher
Oxford University Press
Year
1983
Tongue
English
Weight
862 KB
Volume
15
Category
Article
ISSN
0024-6093

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πŸ“œ SIMILAR VOLUMES


Weakly symmetric groups of Heisenberg ty
✍ JΓΌrgen Berndt; Fulvio Ricci; Lieven Vanhecke πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 759 KB

We prove that an H-type group is weakly symmetric if and only if it is commutative. As a conseyuenct we get the classification of all weakly symmetric H-type groups.

Geometric properties of Heisenberg-type
✍ Adam KorΓ‘nyi πŸ“‚ Article πŸ“… 1985 πŸ› Elsevier Science 🌐 English βš– 459 KB

Gauges, or equivalently, left-invariant pseudodistances on the Heisenberg group, have been used for a long time. It was, however, only in 1978 that Cygan [3] noted that one of these natural gauges actually induces a distance, i.e., a left-invariant metric space structure on the group. Peter Greiner