Results 121 to 130 of about 18,324 (228)

Outer automorphism groups [PDF]

, 2003
The outer automorphism group of a group is the factor of the automorphism group by the inner automorphism group, the normal subgroup consisting of conjugation by group elements.
Braun, Gábor
core  

Quantum Automorphism Groups of Hypergraphs [PDF]

We introduce a quantum automorphism group for hypergraphs, which turns out to generalize the quantum automorphism group of Bichon for classical graphs.
Faroß, Nicolas
core   +1 more source

Quantum automorphism groups of trees

We give a characterization of quantum automorphism groups of trees. In particular, for every tree, we show how to iteratively construct its quantum automorphism group using free products and free wreath products.
Roberson, David E., Kar, Prem Nigam, van Dobben de Bruyn, Josse, Schmidt, Simon, Zeman, Peter   +4 more
core   +1 more source

Automorphisms of the generalized cluster complex

The American Journal of Combinatorics
We exhibit a dihedral symmetry in the generalized cluster complex defined by Fomin and Reading. Together with diagram symmetries, they generate the automorphism group of the complex.
Matthieu Josuat-Vergès
doaj   +1 more source

Monogenic free inverse semigroups and partial automorphisms of regular rooted trees

Математичні Студії
For a one-to-one partial mapping on an infinite set, we present a criterion in terms of its cycle-chain decomposition that the inverse subsemigroup generated by this mapping is monogenic free inverse. We also give a sufficient condition for a regular
E. Kochubinska, A. Oliynyk
doaj   +1 more source

Symmetric Groups and Their Automorphism Groups

, 1974
This paper presents an account of the relationship between the symmetric group on n symbols, Sn, and its automorphism group for each natural number n. For n ≠ 2, Sn is isomorphic to its inner automorphism group. S2 has only the identity automorphism. For
Madison, Harold Lyle
core  

The automorphism group of the quantum grassmannian [PDF]

The automorphism group of a quantised coordinate algebra is usually much smaller than that of its classical counterpart. Nevertheless, these automorphism groups are often very difficult to calculate.
Lenagan, T.H., Launois, S., Lenagan, T., Launois, Stephane   +3 more
core   +1 more source

Automorphisms of the Rational World

Journal of the London Mathematical Society, 1985
According to Sierpiński there is up to homeomorphism just one countable metric space X without isolated points. Natural examples are \({\mathbb{Q}},{\mathbb{Q}}^ 2,...\), the set of points with rational coordinates on the sphere \(S^ n\); hence the author calls such a space X the rational world.
openaire   +1 more source

Automorphisms of Homogeneous Structures

Notre Dame Journal of Formal Logic, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Quantum automorphism groups of $2$-graphs [PDF]

We formulate a notion of the quantum automorphism groups of $2$-graphs. We show that two isomorphic $2$-graphs have isomorphic quantum automorphism groups making the notion well-defined. We compute the quantum automorphism groups of a few $2$-graphs.
Joardar, Soumalya, Rahaman, Atibur
core   +1 more source