AXIAL DISTANCES IN DISCRETE MOBIUS GROUPS

被引：8

作者：

GEHRING, FW ^{[1
]}

MARTIN, GJ ^{[1
]}

机构：

[1] UNIV AUCKLAND,DEPT MATH,AUCKLAND,NEW ZEALAND

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA | 1992年 / 89卷 / 06期

关键词：

D O I：

10.1073/pnas.89.6.1999

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We describe here new lower bounds for the trace of the commutator of a discrete two-generator group of Mobius transformations. These results lead to sharp estimates for the distance between the axes of elliptics in a discrete group and hence to new bounds for the volume of hyperbolic manifolds and orbifolds that will be discussed elsewhere.

引用

页码：1999 / 2001

页数：3

共 50 条

[41] The Mobius function of the small Ree groups
Pierro, Emilio
[J]. AUSTRALASIAN JOURNAL OF COMBINATORICS, 2016, 66 : 142 - 176
[42] ON ISOMORPHISMS OF GEOMETRICALLY FINITE MOBIUS GROUPS
TUKIA, P
[J]. PUBLICATIONS MATHEMATIQUES, 1985, (61): : 171 - 214
[43] Mobius symmetry of discrete time soliton equations
Yamamoto, J
[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2003, 72 (02) : 253 - 264
[44] Hamming distances of groups and quasi-groups
Drápal, A
[J]. DISCRETE MATHEMATICS, 2001, 235 (1-3) : 189 - 197
[45] The problem of freeness for Euler monoids and Mobius groups
Grytczuk, A
Wójtowicz, M
[J]. SEMIGROUP FORUM, 2000, 61 (02) : 277 - 282
[46] Mobius manifolds, monoids, and retracts of topological groups
Hofmann, Karl H.
Martin, John R.
[J]. SEMIGROUP FORUM, 2015, 90 (02) : 301 - 316
[47] On the Invariants of Mobius Groups M（R~n）
方爱农
[J]. ActaMathematicaSinica., 1993, (02) - 128
[48] On profinite groups with polynomially bounded Mobius numbers
Lucchini, Andrea
[J]. JOURNAL OF GROUP THEORY, 2011, 14 (02) : 261 - 271
[49] On the Invariants of Mobius Groups M(R~n)
方爱农
[J]. Acta Mathematica Sinica,English Series, 1993, (02) : 119 - 128
[50] QUASIGEODESIC FLOWS AND MOBIUS-LIKE GROUPS
Frankel, Steven
[J]. JOURNAL OF DIFFERENTIAL GEOMETRY, 2013, 93 (03) : 401 - 429

← 1 2 3 4 5 →