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Volume 35, Issue 4
Expanders, Group Extensions, Hadamard Manifolds and Certain Banach Spaces

Lin Shan

Commun. Math. Res., 35 (2019), pp. 335-339.

Published online: 2019-12

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  • Abstract

In this note, we prove that expanders cannot be coarsely embedded into group extensions of sequences of groups which are coarsely embeddable into Hardamad manifolds and certain Banach spaces due to the similar concentration theorems.

  • Keywords

expander, group extension, Hadamard manifold, Banach space.

  • AMS Subject Headings

20E06, 46B99, 58C99

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

lin.shan@upr.edu (Lin Shan)

  • BibTex
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  • TXT
@Article{CMR-35-335, author = {Lin and Shan and lin.shan@upr.edu and 6242 and Faculty of Natural Sciences, University of Puerto Rico, Rio Piedras Campus, San Juan, 00925, Puerto Rico and Lin Shan}, title = {Expanders, Group Extensions, Hadamard Manifolds and Certain Banach Spaces}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {35}, number = {4}, pages = {335--339}, abstract = {

In this note, we prove that expanders cannot be coarsely embedded into group extensions of sequences of groups which are coarsely embeddable into Hardamad manifolds and certain Banach spaces due to the similar concentration theorems.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2019.04.04}, url = {http://global-sci.org/intro/article_detail/cmr/13559.html} }
TY - JOUR T1 - Expanders, Group Extensions, Hadamard Manifolds and Certain Banach Spaces AU - Shan , Lin JO - Communications in Mathematical Research VL - 4 SP - 335 EP - 339 PY - 2019 DA - 2019/12 SN - 35 DO - http://doi.org/10.13447/j.1674-5647.2019.04.04 UR - https://global-sci.org/intro/article_detail/cmr/13559.html KW - expander, group extension, Hadamard manifold, Banach space. AB -

In this note, we prove that expanders cannot be coarsely embedded into group extensions of sequences of groups which are coarsely embeddable into Hardamad manifolds and certain Banach spaces due to the similar concentration theorems.

Lin Shan. (2019). Expanders, Group Extensions, Hadamard Manifolds and Certain Banach Spaces. Communications in Mathematical Research . 35 (4). 335-339. doi:10.13447/j.1674-5647.2019.04.04
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