L_p-compression of wreath products and some related groups
Amenability, coarse embeddability and fixed point properties December 06, 2016 - December 09, 2016
Location: SLMath: Eisenbud Auditorium
wreath product
Lp-compression
amenable groups
a-T-menability
fixed point properties
hyperbolic groups and generalizations
Banach space
group cohomology
expander graph
index theory
non-commutative geometry
20K40 - Homological and categorical methods for abelian groups
00A35 - Methodology of mathematics {For mathematics education, see 97-XX}
00B25 - Proceedings of conferences of miscellaneous specific interest
00B55 - Collections of translated articles of miscellaneous specific interest
01-11 - Research data for problems pertaining to history and biography
20E15 - Chains and lattices of subgroups, subnormal subgroups [See also 20F22]
14651
We show a formula relating the L_p-compression exponent of a group and its wreath product with a cyclic group for p in [1, 2]. The argument extends the Markov type method introduced by Naor and Peres. Using wreath product as ingredients, we construct finitely generated amenable groups with arbitrary prescribed L_p compression exponent in the interval [0,1]. This can be viewed as an elementary amenable analogue of a result of Arzhantseva, Drutu and Sapir. Joint with Jeremie Brieussel
Zheng Notes
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14651
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