Results 71 to 80 of about 1,094 (186)

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

Obstructions to homotopy invariance of loop coproduct via parameterized fixed‐point theory

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract Given f:M→N$f:M \rightarrow N$ a homotopy equivalence of compact manifolds with boundary, we use a construction of Geoghegan and Nicas to define its Reidemeister trace [T]∈π1st(LN,N)$[T] \in \pi _1^{st}(\mathcal {L}N, N)$. We realize the Goresky–Hingston coproduct as a map of spectra, and show that the failure of f$f$ to entwine the spectral ...
Lea Kenigsberg, Noah Porcelli
wiley   +1 more source

On autocentral kernel of groups [PDF]

Journal of Mahani Mathematical Research
‎Let $G$ be a group,  where $\text{Aut}(G)$ denotes the full automorphisms group of $G$  and $L(G)$ represents  the  absolute center of $G.$ An automorphism $\alpha \in \text{Aut}(G)$ is called an autocentral automorphism if $g^{-1}\alpha(g) \in L(G ...
Shafigh Bahri, Azam Kaheni, Mohammad Mehdi Nasrabadi   +2 more
doaj   +1 more source

Automorphisms of Group Extensions [PDF]

Transactions of the American Mathematical Society, 1971
If 1 G I> E X-4 I -> 1 is a group extension, with t an inclusion, any automorphism T of E which takes G onto itself induces automorphisms T on G and a on 11. However, for a pair (a, T) of automorphism of 11 and G, there may not be an automorphism of E inducing the pair. Let Xx: H -IOut G be the homomorphism induced by the given extension. A pair (a, T)
openaire   +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

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

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  

Automorphisms of solvable groups [PDF]

Proceedings of the American Mathematical Society, 1962
It is important to note that in both these statements only the existence of integers t(p, n) and m(p) is claimed. The only specific information known is that in(2) =2, m (3) =2, and mi(5) = 3 (see [1 ]) . Even upper bounds for the values of t(p, n) and m(p) are not known to us.
openaire   +1 more source

Ree groups as automorphism groups of block designs

Examples and Counterexamples
A 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