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Transactions of the American Mathematical Society, ISSN 0002-9947, 07/2019, Volume 372, Issue 7, pp. 4509 - 4552
We construct rearrangement groups for edge replacement systems, an infinite class of groups that generalize Richard Thompson's groups F, T, and V.... 
FINITENESS PROPERTIES | MATHEMATICS
Journal Article
by Sun, HB
DUKE MATHEMATICAL JOURNAL, ISSN 0012-7094, 03/2019, Volume 168, Issue 4, pp. 655 - 696
We will show that for any noncompact arithmetic hyperbolic m-manifold with m > 3, and any compact arithmetic hyperbolic m-manifold with m > 4 that is not a... 
MATHEMATICS | FINITENESS | SEPARABILITY | SURFACES
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 11/2019, Volume 372, Issue 11, pp. 8107 - 8130
In the present paper, we define a notion of good coverings of Alexandrov spaces with curvature bounded below, and we prove that every Alexandrov space admits... 
HOMOTOPY TYPE | MATHEMATICS | FINITENESS THEOREMS
Journal Article
Siberian Mathematical Journal, ISSN 0037-4466, 7/2019, Volume 60, Issue 4, pp. 699 - 708
Given a root class $\mathscr{K}$ K of groups, we prove that the tree product of residually $\mathscr{K}$ K -groups with amalgamated retracts is a residually... 
HNN-extension | root class residuality | residual p -finiteness | tree product of groups | residual finiteness | Mathematics, general | Mathematics | Artin group | Coxeter group | residual solubility | FINITENESS | HNN-EXTENSIONS | residual p-finiteness | SUBGROUPS | MATHEMATICS | GENERALIZED FREE-PRODUCTS
Journal Article
Algebraic and Geometric Topology, ISSN 1472-2747, 12/2018, Volume 18, Issue 7, pp. 3749 - 3788
Turaev conjectured that the classification, realization and splitting results for Poincare duality complexes of dimension 3 (PD3-complexes) generalize to... 
MATHEMATICS | FINITENESS CONDITIONS
Journal Article
Journal of Algebra, ISSN 0021-8693, 06/2017, Volume 480, pp. 22 - 58
Normal residual finiteness growth measures how well a finitely generated residually finite group is approximated by its finite quotients. We show that any... 
Residual finiteness growth | Residual finiteness | Linear groups | MATHEMATICS
Journal Article
2015, Cours de philosophie, ISBN 2340005426, 286
Book
2017, 1st ed. 2017, ISBN 3319570862, vi, 224 pages
"This collection addresses the perennial philosophical and theological issues of human finitude and the potentiality for evil. The contributors approach these... 
Ethics | Good and evil | Finite, The | Philosophy | Phenomenology | Jewish Theology | Politics and Religion | Continental Philosophy
Book
Linguistic Inquiry, ISSN 1530-9150, 06/2019, Volume 50, Issue 3, pp. 649 - 661
With the aim of providing new data to be incorporated into current research on finiteness, the authors examine how the Latin infinitival structure known as the... 
Finiteness (Linguistics) | Latin language | Infinitive | Clauses | Case | LANGUAGE & LINGUISTICS | LINGUISTICS | LATIN | Syntax | Finiteness | Infinitives
Journal Article
2003, Oxford studies in typology and linguistic theory, ISBN 9780199252794, xvi, 355
This book presents a typology of subordination systems across the world's languages. Traditional definitions of subordination are based on morphosyntactic... 
Subordinate constructions | English language | Grammar, Comparative and general | Language & Linguistics | Adverbial sentences | Cross-linguistic coding | Non-finiteness | Relative sentences | Clausal embedding | Complement | Morphosyntactic criteria | Subordination systems
Book
Mathematische Annalen, ISSN 0025-5831, 06/2017, Volume 368, Issue 1-2, pp. 671 - 683
We show that the Stallings-Bieri groups, along with certain other Bestvina-Brady groups, have quadratic Dehn function. 
FINITENESS PROPERTIES | MATHEMATICS | AUTOMATIC GROUPS
Journal Article
Fuzzy Sets and Systems, ISSN 0165-0114, 08/2018, Volume 345, pp. 113 - 125
We introduce properties of consequence relations that provide abstract counterparts of different notions of finite-valuedness in logic. In particular, we... 
Finite-valuedness | Finite-determinedness | Many-valuedness | Local finiteness | Cancellation | Local tabularity | Strong finiteness | Logical matrix semantics | MATHEMATICS, APPLIED | VARIETIES | STATISTICS & PROBABILITY | COMPUTER SCIENCE, THEORY & METHODS | LOGICS
Journal Article
Journal für die reine und angewandte Mathematik (Crelles Journal), ISSN 0075-4102, 09/2015, Volume 2015, Issue 706, pp. 83 - 101
We explore a relationship between the classical representation theory of a complex, semisimple Lie algebra 𝔤 and the resonance varieties attached to... 
MATHEMATICS | TORELLI GROUP | COHOMOLOGY | FINITENESS
Journal Article
Pacific Journal of Mathematics, ISSN 0030-8730, 2013, Volume 266, Issue 2, pp. 283 - 295
Journal Article
International Mathematics Research Notices, ISSN 1073-7928, 10/2017, Volume 2017, Issue 19, pp. 5861 - 5896
Abstract We compute the higher $\Sigma$-invariants $\Sigma^m(F_{n,\infty})$ of the generalized Thompson groups $F_{n,\infty}$, for all $m,n\ge 2$. This extends... 
FINITENESS PROPERTIES | MATHEMATICS | BIERI | RANK | NEUMANN | VALUATIONS
Journal Article
Journal of Algebra, ISSN 0021-8693, 04/2017, Volume 476, pp. 344 - 367
We construct the first explicit finite presentations for a family of Kähler groups with arbitrary finiteness properties, answering a question of Suciu. 
Homological finiteness properties | Finite presentations | Kähler groups
Journal Article
Forum Mathematicum, ISSN 0933-7741, 09/2016, Volume 28, Issue 5, pp. 909 - 921
We consider generalisations of Thompson's group V, denoted by V-r(Sigma), which also include the groups of Higman, Stein and Brin. We show that, under some... 
Cohomological finiteness conditions | Thompson groups | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 12/2014, Volume 463, pp. 154 - 170
We suggest a novel method to determine the joint spectral radius of finite sets of matrices by validating the finiteness property. It is based on finding a... 
Finiteness property | Joint spectral radius | Exact computation | MATHEMATICS, APPLIED | PRODUCTS | MATRICES | FAMILIES | COMPUTATION | FINITENESS CONJECTURE | POLYTOPE NORMS | COUNTEREXAMPLE
Journal Article
Algebra and Discrete Mathematics, ISSN 1726-3255, 2015, Volume 19, Issue 1, pp. 44 - 47
Journal Article
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