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- Title
Presentation for G ≀ Sing<sub>2</sub>.
- Authors
Ying-Ying Feng; Al-Aadhami, Asawer
- 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.
- Subjects
ENDOMORPHISMS; WREATH products (Group theory)
- Publication
Southeast Asian Bulletin of Mathematics, 2023, Vol 47, Issue 1, p49
- ISSN
0129-2021
- Publication type
Article