On common fundamental domains

    Authors

    D. E. Dutkay; D. G. Han; P. E. T. Jorgensen;G. Picioroaga

    Comments

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    Abbreviated Journal Title

    Adv. Math.

    Keywords

    Fundamental domain; Packing; Group action; Lattice; Polynomial growth; LIE-GROUPS; DISCRETE-SUBGROUPS; WEYL ALGEBRAS; LATTICES; DECOMPOSITION; PAIRS; Mathematics

    Abstract

    We find conditions under which two measure preserving actions of two groups on the same space have a common fundamental domain. Our results apply to commuting actions with separate fundamental domains, lattices in groups of polynomial growth, and some semidirect products. We prove that two lattices of equal co-volume in a group of polynomial growth, one acting on the left, the other on the right, have a common fundamental domain. Published by Elsevier Inc.

    Journal Title

    Advances in Mathematics

    Volume

    239

    Publication Date

    1-1-2013

    Document Type

    Article

    Language

    English

    First Page

    109

    Last Page

    127

    WOS Identifier

    WOS:000318383800006

    ISSN

    0001-8708

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