Homogeneous permutations.
Cameron, Peter J. (2003)
The Electronic Journal of Combinatorics [electronic only]
Similarity:
Cameron, Peter J. (2003)
The Electronic Journal of Combinatorics [electronic only]
Similarity:
Francesco Del Castillo (2007)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
Otto H. Kegel (1980)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
Roman Wituła, Edyta Hetmaniok, Damian Słota (2017)
Open Mathematics
Similarity:
The aim of this paper is to present some new and essential facts about group 𝒢 generated by the family of convergent permutations, i.e. the permutations on ℕ preserving the convergence of series of real terms. We prove that there exist permutations preserving the sum of series which do not belong to 𝒢. Additionally, we show that there exists a family G (possessing the cardinality equal to continuum) of groups of permutations on ℕ such that each one of these groups is different than...
David M. Evans, Todor Tsankov (2016)
Fundamenta Mathematicae
Similarity:
We show that if G is a non-archimedean, Roelcke precompact Polish group, then G has Kazhdan's property (T). Moreover, if G has a smallest open subgroup of finite index, then G has a finite Kazhdan set. Examples of such G include automorphism groups of countable ω-categorical structures, that is, the closed, oligomorphic permutation groups on a countable set. The proof uses work of the second author on the unitary representations of such groups, together with a separation result for infinite...
Marian Rejewski (1980)
Applicationes Mathematicae
Similarity:
Paweł Klinga (2016)
Colloquium Mathematicae
Similarity:
We prove that every permutation of ω² is a composition of a finite number of axial permutations, where each axial permutation moves only a finite number of elements on each axis.
J.H.B. Kemperman, Teunis J. Ott (1994)
Aequationes mathematicae
Similarity:
Gy. Károlyi, S.J. Kovács, P.P. Pálfy (1990)
Aequationes mathematicae
Similarity:
Saharon Shelah, Juris Steprāns (2007)
Fundamenta Mathematicae
Similarity:
If G is a group then the abelian subgroup spectrum of G is defined to be the set of all κ such that there is a maximal abelian subgroup of G of size κ. The cardinal invariant A(G) is defined to be the least uncountable cardinal in the abelian subgroup spectrum of G. The value of A(G) is examined for various groups G which are quotients of certain permutation groups on the integers. An important special case, to which much of the paper is devoted, is the quotient of the full symmetric...
Atkinson, M.D., Murphy, M.M., Ruškuc, N. (2005)
The Electronic Journal of Combinatorics [electronic only]
Similarity:
Raykova, Mariana (2006)
The Electronic Journal of Combinatorics [electronic only]
Similarity:
J.H.B. Kemperman, Teunis J. Ott (1994)
Aequationes mathematicae
Similarity: