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
✦ LIBER ✦
Weakly symmetric groups of Heisenberg type
✍ Scribed by Jürgen Berndt; Fulvio Ricci; Lieven Vanhecke
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 759 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0926-2245
No coin nor oath required. For personal study only.
✦ Synopsis
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.
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