A group with deep pockets for all finite generating sets

被引：0

作者：

Andrew D. Warshall

机构：

[1] Southern Connecticut State University,Department of Mathematics

来源：

Israel Journal of Mathematics | 2011年 / 185卷

关键词：

Unit Ball; Adjacent Vertex; Cyclic Permutation; Hyperbolic Group; Fourth Condition;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We show that the discrete Heisenberg group has unbounded dead-end depth with respect to every finite generating set. We also show that, in contrast, it has bounded retreat depth.

引用

页码：317 / 342

页数：25

共 50 条

[21] The probability of generating a finite linear group
Lucchini, A
Morini, F
ARCHIV DER MATHEMATIK, 2004, 83 (05) : 394 - 403
[22] The probability of generating a finite soluble group
Guralnick, RM
Wilson, JS
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2000, 81 : 405 - 427
[23] The probability of generating a finite simple group
Nina E. Menezes
Martyn Quick
Colva M. Roney-Dougal
Israel Journal of Mathematics, 2013, 198 : 371 - 392
[24] THE PROBABILITY OF GENERATING A FINITE SIMPLE GROUP
Menezes, Nina E.
Quick, Martyn
Roney-Dougal, Colva M.
ISRAEL JOURNAL OF MATHEMATICS, 2013, 198 (01) : 371 - 392
[25] ALGORITHM FOR GENERATING ALL THE MAXIMAL INDEPENDENT SETS.
Tsukiyama, Shuji
Ozaki, Hiroshi
Ariyoshi, Hiromu
Ide, Mikio
Electronics and Communications in Japan (English translation of Denshi Tsushin Gakkai Zasshi), 1976, 59 (06): : 1 - 8
[26] Computing generating sets of minimal size in finite algebras
Janota, Mikolas
Morgado, Antonio
Vojtechovsky, Petr
JOURNAL OF SYMBOLIC COMPUTATION, 2023, 119 : 50 - 63
[27] On generating sets of the clone of aggregation functions on finite lattices
Halas, Radomir
Mesiar, Radko
Pocs, Jozef
INFORMATION SCIENCES, 2019, 476 : 38 - 47
[28] Finite generating sets for reversible gate sets under general conservation laws
Boykett, Tim
Kari, Jarkko
Salo, Ville
THEORETICAL COMPUTER SCIENCE, 2017, 701 : 27 - 39
[29] Hartley Sets and Injectors of a Finite Group
Vorob'ev, N. T.
Karaulova, T. B.
MATHEMATICAL NOTES, 2019, 105 (1-2) : 204 - 215
[30] Integral Sets and the Center of a Finite Group
Alperin, Roger C.
Peterson, Brian L.
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2014, 57 (01): : 9 - 11

← 1 2 3 4 5 →