Zobrazeno 1 - 10 of 92 pro vyhledávání: '"Mark Sapir"'
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3
On flat submaps of maps of nonpositive curvature
Autor: Alexander Yu. Olshanskii, Mark Sapir
Publikováno v: Transactions of the American Mathematical Society. 371:4869-4894
We prove that for every r > 0 r>0 if a nonpositively curved ( p , q ) (p,q) -map M M contains no flat submaps of radius r r , then the area of M M does not exceed C r n Crn for some constant C C . This strengthens a theorem of Ivanov and Schupp. We s
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6f49e832e15338f73aa010ce4154f316
https://doi.org/10.1090/tran/7487
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5
Corrigendum to 'Divergence in lattices in semisimple Lie groups and graphs of groups'
Autor: Mark Sapir, Shahar Mozes, Cornelia Druţu
Publikováno v: Transactions of the American Mathematical Society. 370:749-754
The authors correct an error in Proposition 3.24 of their work Divergence in lattices in semisimple Lie groups and graphs of groups, Trans. Amer. Math. Soc. 362 (2010), no. 5, 2451–2505.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::06b18a543558340197401f46090e9c45
https://doi.org/10.1090/tran/7376
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6
On Jones' subgroup of R. Thompson group F
Autor: Mark Sapir, Gili Golan
Publikováno v: Journal of Algebra. 470:122-159
Recently Vaughan Jones showed that the R. Thompson group $F$ encodes in a natural way all knots, and a certain subgroup $\vec F$ of $F$ encodes all oriented knots. We answer several questions of Jones about $\vec F$. In particular we prove that the s
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6ec3684ae68894a2081de1305132bae7
https://doi.org/10.1016/j.jalgebra.2016.09.001
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7
Conjugacy problem in groups with quadratic Dehn function
Autor: Mark Sapir, A. Yu. Olshanskii
Publikováno v: Bulletin of Mathematical Sciences, Vol 10, Iss 1, Pp 1950023-1-1950023-103 (2020)
We construct a finitely presented group with quadratic Dehn function and undecidable conjugacy problem. This solves Rips’ problem formulated in 1994.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::db2b95c85567dba9073ac12979ff0529
https://doi.org/10.1142/s1664360719500231
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8
The isoperimetric spectrum of finitely presented groups
Autor: Mark Sapir
The isoperimeric spectrum consists of all real positive numbers $\alpha$ such that $O(n^\alpha)$ is the Dehn function of a finitely presented group. In this note we show how a recent result of Olshanskii completes the description of the isoperimetric
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b9430cddaccfba6e5539fdc9aa60a9d
http://arxiv.org/abs/1808.05840
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9
On groups with locally compact asymptotic cones
Autor: Mark Sapir
Publikováno v: International Journal of Algebra and Computation. 25:37-40
We show how a recent result of Hrushovsky implies that if an asymptotic cone of a finitely generated group is locally compact, then the group is virtually nilpotent.
3 pages
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c9c0aa8b80c736755d61bb93abf900bf
https://doi.org/10.1142/s0218196715400020
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