Results 111 to 120 of about 12,736,939 (290)
Finite Vertex Bi-Primitive 2-Arc Transitive Graphs Admitting a Two-Dimensional Linear Group
IEEE Access, 2019 A graph is said to be vertex bi-primitive, if it is a bipartite graph, and the setwise stabilizer of its automorphism group acts primitively on two bi-parts.
Xiaohui Hua
doaj +1 more source
On the Automorphism Group of Integral Circulant Graphs
Electronic Journal of Combinatorics, 2011 The integral circulant graph $X_n (D)$ has the vertex set $Z_n = \{0, 1,\ldots$, $n{-}1\}$ and vertices $a$ and $b$ are adjacent, if and only if $\gcd(a{-}b$, $n)\in D$, where $D = \{d_1,d_2, \ldots, d_k\}$ is a set of divisors of $n$.
Milan Basic, Aleksandar Ilić
semanticscholar +1 more source
On Azumaya algebras with a finite automorphism group
International Journal of Mathematics and Mathematical Sciences, 2001 Let B be a ring with 1, C the center of B, and G a finite automorphism group of B. It is shown that if B is an Azumaya algebra such that B=⊕∑g∈GJg where Jg={b∈B|bx=g(x)b for all x∈B}, then there exist orthogonal central idempotents {fi∈C|i=1,2,…,m ...
George Szeto, Lianyong Xue
doaj +1 more source
Ree groups as automorphism groups of block designs
Examples and CounterexamplesA recent classification of flag-transitive 2-designs with parameters (v,k,λ) whose replication number r is coprime to λ gives rise to eight possible infinite families of 2-designs, some of which are with new parameters.
Ashraf Daneshkhah
doaj +1 more source
Groups with Anomalous Automorphisms
Journal of Algebra, 1996 Let \(G\) be a group. The set \(\Aut_{nn}G\) of all automorphisms of \(G\) fixing every non-normal subgroup of \(G\) is a normal subgroup of the full automorphism group \(\Aut G\) of \(G\). Of course, \(\Aut_{nn}G\) contains the group \(P\Aut G\) of all power automorphisms of \(G\), and the structure of groups \(G\) such that \(P\Aut G\neq\Aut_{nn}G ...
Brandl, Rolf, Verardi, Libero
openaire +2 more sources
Bounded Automorphisms of Groups
Journal of Algebra, 1994 Let \(G\) be the fundamental group of a graph of groups (in the sense of Bass-Serre theory). Such a group has a natural length function and thus a corresponding notion of bounded subgroups and bounded automorphisms. The general result of this paper is that an automorphism of \(G\) is bounded if and only if it is induced by isomorphisms of vertex groups
openaire +2 more sources
More on automorphism groups of laminated near-rings [PDF]
, 1988 D. K. Blevins +4 more
openalex +1 more source
On the realization of subgroups of $PGL(2,F)$, and their automorphism\n groups, as Galois groups over function fields [PDF]
, 2021 Rod Gow, G. E. McGuire
openalex +1 more source
On central endomorphisms of a group [PDF]
International Journal of Group Theory, 2015 Let Γ be a normal subgroup of the full automorphism group Aut(G) of a group G , and assume that Inn(G)≤Γ . An endomorphism σ of G is said to be {\it Γ -central} if σ induces the the identity on the factor group G/C G (Γ) .
Alessio Russo
doaj