Bibliographic Details
| Title: |
Presentation for G ≀ Sing2. |
| Authors: |
Ying-Ying Feng1 rickyfungyy@fosu.edu.cn, Al-Aadhami, Asawer2 asawer.d@sc.uobaghdad.edu.iq |
| Superior Title: |
Southeast Asian Bulletin of Mathematics. 2023, Vol. 47 Issue 1, p49-62. 14p. |
| Subject Terms: |
*ENDOMORPHISMS, *WREATH products (Group theory) |
| Abstract: |
For a group G and a subsemigroup S of the full transformation semigroup Tn, the wreath product G ≀ S is defined to be the semidirect product Gn ≀ S, with the coordinatewise action of S on Gn. The full wreath product Go Tn is isomorphic to the endomorphism monoid of the free G-act on n generators. Here, we are particularly interested in the case that S = Sing2 is the singular part of T2, consisting of all non-invertible transformations. Our main result is a presentation for G ≀ Sing2 in terms of the idempotent generating set. It is also shown that the generating relations cannot be reduced. [ABSTRACT FROM AUTHOR] |
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| Database: |
Academic Search Premier |