Certain cyclically presented groups are infinite

被引：0

作者：

Havas, G ^{[1
]}

Holt, DF

Newman, MF

机构：

[1] Univ Queensland, Dept Comp Sci & Elect Engn, Ctr Discrete Math & Comp, Brisbane, Qld 4072, Australia

[2] Univ Warwick, Inst Math, Coventry CV4 7AL, W Midlands, England

[3] Australian Natl Univ, Sch Math Sci, Ctr Math & Applicat, Canberra, ACT 0200, Australia

来源：

COMMUNICATIONS IN ALGEBRA | 2001年 / 29卷 / 11期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the groups in two infinite families considered by Johnson, Kim and O'Brien are almost all infinite.

引用

页码：5175 / 5178

页数：4

共 50 条

[41] COSET ENUMERATION FOR CERTAIN INFINITELY PRESENTED GROUPS
Hartung, Rene
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2011, 21 (08) : 1369 - 1380
[42] On the Tits alternative for cyclically presented groups with length-four positive relators
Isherwood, Shaun
Williams, Gerald
JOURNAL OF GROUP THEORY, 2022, 25 (05) : 837 - 850
[43] Some diophantine problems arising from the theory of cyclically-presented groups
Odoni, RWK
GLASGOW MATHEMATICAL JOURNAL, 1999, 41 : 157 - 165
[44] CYCLICALLY PRESENTED SIERADSKI GROUPS WITH EVEN NUMBER OF GENERATORS AND THREE DIMENSIONAL MANIFOLDS
Kozlovskaya, Tatyana Anatolevna
VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS, 2019, (60): : 32 - 41
[45] SOLVABILITY OF INFINITE FINITELY PRESENTED QUASI-GROUPS
SHABUNIN, LV
IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA, 1992, (03): : 74 - 79
[46] On a certain independent infinite system of groups identities
Kozhevnikov, PA
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1997, (04): : 13 - 16
[47] COMPLETE DISTRIBUTIVITY IN CERTAIN INFINITE PERMUTATION GROUPS
LLOYD, JT
MICHIGAN MATHEMATICAL JOURNAL, 1967, 14 (04) : 393 - &
[48] BRAUER INDUCTION FOR GO OF CERTAIN INFINITE GROUPS
MOODY, JA
JOURNAL OF ALGEBRA, 1989, 122 (01) : 1 - 14
[49] The cyclically presented groups with relators xi xi+k xi+l
Edjvet, Martin
Williams, Gerald
GROUPS GEOMETRY AND DYNAMICS, 2010, 4 (04) : 759 - 775
[50] ON AMALGAMATED DECOMPOSITIONS OF FINITELY PRESENTED GROUPS ALONG SPLITTING INFINITE CYCLIC GROUPS
MAEDA, T
OSAKA JOURNAL OF MATHEMATICS, 1990, 27 (04) : 929 - 935

← 1 2 3 4 5 →