Projects per year
Abstract
We prove that a finite group G occurs as a maximal proper subsemigroup of an infinite semigroup (in the terminology of Freese, Ježek, and Nation, G is a big semigroup) if and only if |G| ≥ 3. In fact, any finite semigroup whose minimal ideal contains a subgroup with at least three elements is big.
Original language | English |
---|---|
Pages (from-to) | 209-217 |
Number of pages | 9 |
Journal | Archiv der Mathematik |
Volume | 97 |
Issue number | 3 |
Early online date | 30 Aug 2011 |
DOIs | |
Publication status | Published - Sept 2011 |
Keywords
- Finite maximal subsemigroup
- Rees matrix semigroup
Fingerprint
Dive into the research topics of 'Finite groups are big as semigroups'. Together they form a unique fingerprint.Projects
- 1 Finished
-
Automata Languages Decidability: Automata, Languages, Decidability in Algebra
Ruskuc, N. (PI) & Quick, M. (CoI)
1/03/10 → 31/05/14
Project: Standard