Two generalizations of homogeneity in groups with applications to regular semigroups

Let X be a finite set such that |X| = n and let i 6 j 6 n. A group G 6 Sn is said to be (i, j)-homogeneous if for every I, J ⊆ X, such that |I| = i and |J| = j, there exists g ∈ G such that Ig ⊆ J. (Clearly (i, i)-homogeneity is i-homogeneity in the usual sense.) A group G 6 Sn is said to have the k...

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Bibliographic Details
Main Author: Araújo, João (author)
Other Authors: Cameron, Peter J. (author)
Format: article
Language:eng
Published: 2015
Subjects:
Online Access:http://hdl.handle.net/10400.2/3811
Country:Portugal
Oai:oai:repositorioaberto.uab.pt:10400.2/3811