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Can I read Semigroups of Matrices of Intermediate Growth on EtoBox?
Semigroups of Matrices of Intermediate Growth by Ferran Cedó; Jan Okniński is a Mathematics article available to read on EtoBox.
What is Semigroups of Matrices of Intermediate Growth about?
Finitely generated linear semigroups over a field K that have intermediate growth are considered. New classes of such semigroups are found and a conjecture on the equivalence of the subexponential growth of a finitely generated linear semigroup S and the nonexistence of free noncommutative subsemigroups in S, or equivalently the existence of a nontrivial identity satisfied in S, is stated. This 'growth alternative' conjecture is proved for linear semigroups of degree 2, 3 or 4. Certain results supporting the general conjecture are obtained. As the main tool, a new combinatorial property of groups is introduced and studied.
Who reads Semigroups of Matrices of Intermediate Growth?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Ferran Cedó; Jan Okniński
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0001-8708)
- Published
- 2007
- Language
- EN
- Field
- Mathematics (Physical Sciences)