Geometry induced by flocks

S Dog - Arabian Journal of Mathematics, 2023 - Springer
Using the vectors and symmetry of affine geometry induced by the ternary quasigroup
satisfying the para-associative laws, we found the conditions under which such quasigroup …

[PDF][PDF] Geometry of flocks and -ary groups

S Dog - Algebra and Discrete Mathematics, 2019 - admjournal.luguniv.edu.ua
Geometry of flocks and n-ary groups Page 1 Algebra and Discrete Mathematics RESEARCH
ARTICLE Volume 28 (2019). Number 1, pp. 60–74 c Journal “Algebra and Discrete Mathematics” …

Construction of right gyrogroup structures on a non-abelian group

AC Yadav - arXiv preprint arXiv:1604.00341, 2016 - arxiv.org
arXiv:1604.00341v1 [math.GR] 1 Apr 2016 Page 1 arXiv:1604.00341v1 [math.GR] 1 Apr 2016
August 30, 2018 CONSTRUCTION OF RIGHT GYROGROUP STRUCTURES ON A …

[PDF][PDF] Geometry of semiabelian n-ary groups

I Kulazhenko - Quasigroups and Related Systems, 2011 - ibn.idsi.md
Geometry of semiabelian n-ary groups 1. Introduction Page 1 Quasigroups and Related
Systems 19 (2011), 265 − 278 Geometry of semiabelian n-ary groups Yurii I. Kulazhenko …

On relatively aspherical presentations and their central extensions

OV Kulikova - Journal of Mathematical Sciences, 2007 - Springer
Under the condition of asphericity of a quotient group G\left/G ̄ N_R\right.\kern-
\nulldelimiterspace ̄ N_R, mutual commutants of the form ̄ N_R, G in hyperbolic groups G …

[PDF][PDF] Subgroups of finite abelian groups having rank two via Goursat's lemma

L Tóth - Tatra Mountains Mathematical Publications, 2014 - sciendo.com
Using Goursat's lemma for groups, a simple representation and the invariant factor
decompositions of the subgroups of the group Zm× Zn are deduced, where m and n are …

Affine regular icosahedron circumscribed around the affine regular octahedron in GS--quasigroup

V Volenec - Commentationes Mathematicae Universitatis Carolinae, 2012 - dml.cz
The concept of the affine regular icosahedron and affine regular octahedron in a general GS-
quasigroup will be introduced in this paper. The theorem of the unique determination of the …

On Abelian Groups Having All Proper Characteristic Subgroups Isomorphic

AR Chekhlov, PV Danchev - arXiv preprint arXiv:2301.08924, 2023 - arxiv.org
We consider two variants of those Abelian groups with all proper characteristic subgroups
isomorphic and give an in-depth study of their basic and specific properties in either parallel …

Action of Non Abelian Group Generated by Affine Homotheties on R^ n

A Ayadi, Y N'Dao - arXiv preprint arXiv:1009.5919, 2010 - arxiv.org
In this paper, we study the action of non abelian group G generated by affine homotheties on
R^ n. We prove that G satisfies one of the following properties:(i) there exist a subgroup F …

[引用][C] On the subgroups of the similarity group in the Galilean plane

AV Borisov - COMPTES RENDUS-ACADEMIE BULGARE DES …, 1993