Isomorphism theorems for classes of cyclically presented groups

被引：1

作者：

Mohamed, Esamaldeen ^{[1
]}

Williams, Gerald ^{[2
]}

机构：

[1] Omar Almukhtar Univ, Dept Math, Fac Educ, Albyda, Libya

[2] Univ Essex, Dept Math Sci, Wivenhoe Pk, Colchester CO4 3SQ, Essex, England

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2019年 / 29卷 / 06期

关键词：

Cyclically presented group; isomorphism;

D O I：

10.1142/S0218196719500383

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider two multi-parameter classes of cyclically presented groups, introduced by Cavicchioli, Repovs and Spaggiari, that contain many previously considered families of cyclically presented groups of interest both for their algebraic and for their topological properties. Building on results of Bardakov and Vesnin, O'Brien and the previously named authors, we prove theorems that establish isomorphisms of groups within these families.

引用

页码：1009 / 1017

页数：9

共 50 条

[21] On Isomorphism Theorems for MI-groups
Holcapek, Michal
Wrublova, Michaela
Stepnicka, Martin
PROCEEDINGS OF THE 8TH CONFERENCE OF THE EUROPEAN SOCIETY FOR FUZZY LOGIC AND TECHNOLOGY (EUSFLAT-13), 2013, 32 : 764 - 771
[22] FUZZY ISOMORPHISM THEOREMS OF SOFT GROUPS
Pan, Wenjun
Wang, Qiumei
Zhan, Jianming
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2015, (35): : 605 - 616
[23] Fundamental isomorphism theorems for quantum groups
Chirvasitu, Alexandru
Hoche, Souleiman Omar
Kasprzak, Pawel
EXPOSITIONES MATHEMATICAE, 2017, 35 (04) : 390 - 442
[24] Tadpole Labelled Oriented Graph groups and cyclically presented groups
Howie, James
Williams, Gerald
JOURNAL OF ALGEBRA, 2012, 371 : 521 - 535
[25] HOMOMORPHISM THEOREMS FOR PARTIALLY CYCLICALLY ORDERED GROUPS
SHERMAN, GJ
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (01): : A43 - A43
[26] On isomorphism classes of locally unitary groups
Osse, A
ALGEBRAIC TOPOLOGY: NEW TRENDS IN LOCALIZATION AND PERIODICITY, 1996, 136 : 363 - 380
[27] Torsion classes of abelian cyclically ordered groups
Jakubik, Jan
MATHEMATICA SLOVACA, 2012, 62 (04) : 633 - 646
[28] LARGENESS AND SQ-UNIVERSALITY OF CYCLICALLY PRESENTED GROUPS
Williams, Gerald
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2012, 22 (04)
[29] A note on the derived quotients of certain cyclically presented groups
Solan, Ikhalfani
Stoddart, Devon
JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2008, 11 (04) : 521 - 524
[30] On some finite orders of certain cyclically presented groups
Kim, Y
Kim, SH
ALGEBRA COLLOQUIUM, 2004, 11 (04) : 477 - 482

← 1 2 3 4 5 →