On wreath products of groups, semigroups and algebras-Reference-Cited by-同舟云学术

On wreath products of groups, semigroups and algebras

Published:2022-12-06 Issue:05 Volume:22 Page:
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Alahmadi Adel¹,Alsulami Hamed²,Jain S. K.³,Zelmanov Efim⁴

Affiliation:

1. Research Group of Algebraic Structures and Applications, Department of Mathematics, King Abdullaziz University, Jeddah, SA

2. Department of Mathematics, King Abdullaziz University, Jeddah, SA

3. Department of Mathematics, Ohio University, Athens, USA

4. Shenzhen International Center for Mathematics, SUSTECH, Shenzhen, China

Abstract

We review various constructions of wreath products of groups, semigroups, Lie algebras and associative algebras and discuss their realizations in matrix wreath products of associative algebras. As an application we prove a new version of Evans’s embedding theorem [T. Evans, Embedding theorems for multiplicative systems and projective geometries, Proc. American Math. Soc. 3 (1952) 614–620].

Funder

Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah, Saudi Arabia

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498824500634

Reference10 articles.

1. On matrix wreath products of algebras

2. Algebras and semigroups of locally subexponential growth

3. Matrix wreath products of algebras and embedding theorems

4. Self-similar Lie algebras

5. Embedding theorems for multiplicative systems and projective geometries

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