共查询到10条相似文献,搜索用时 62 毫秒
1.
S. De Winter 《Advances in Mathematics》2007,214(1):146-156
We solve a long-standing open problem by proving that the automorphism group of any thick Payne derived generalized quadrangle with ambient quadrangle S a thick generalized quadrangle of order s, s?5 and odd, with a center of symmetry, is induced by the automorphism group of S. 相似文献
2.
Let K be a finite abelian group and let H be the holomorph of K. It is shown that every Coleman automorphism of H is an inner automorphism. As an immediate consequence of this result, it is obtained that the normalizer property holds for H. 相似文献
3.
L.-K. Lauderdale 《Discrete Mathematics》2019,342(2):520-528
The fixing number of a graph is the minimum number of labeled vertices that, when fixed, remove all nontrivial automorphisms from the automorphism group of . The fixing set of a finite group is the set of all fixing numbers of graphs whose automorphism groups are isomorphic to . Previously, authors have studied the fixing sets of both abelian groups and symmetric groups. In this article, we determine the fixing set of the dihedral group. 相似文献
4.
Christoph Wockel 《Journal of Functional Analysis》2007,251(1):254-288
In this paper we describe how one can obtain Lie group structures on the group of (vertical) bundle automorphisms for a locally convex principal bundle P over the compact manifold M. This is done by first considering Lie group structures on the group of vertical bundle automorphisms Gau(P). Then the full automorphism group Aut(P) is considered as an extension of the open subgroup DiffP(M) of diffeomorphisms of M preserving the equivalence class of P under pull-backs, by the gauge group Gau(P). We derive explicit conditions for the extensions of these Lie group structures, show the smoothness of some natural actions and relate our results to affine Kac-Moody algebras and groups. 相似文献
5.
David Erwin 《Discrete Mathematics》2006,306(24):3244-3252
The fixing number of a graph G is the minimum cardinality of a set S⊂V(G) such that every nonidentity automorphism of G moves at least one member of S, i.e., the automorphism group of the graph obtained from G by fixing every node in S is trivial. We provide a formula for the fixing number of a disconnected graph in terms of the fixing numbers of its components and make some observations about graphs with small fixing numbers. We determine the fixing number of a tree and find a necessary and sufficient condition for a tree to have fixing number 1. 相似文献
6.
A Latin square design whose automorphism group is transitive of rank at most 3 on points must come from the multiplication table of an elementary abelian p-group, for some prime p. 相似文献
7.
We determine the derivation algebra and the automorphism group of the generalized topological N = 2 superconformal algebra. 相似文献
8.
Yu Chen 《Transactions of the American Mathematical Society》1996,348(2):521-541
It is shown that every automorphism of an adjoint Chevalley group over an integral domain containing the rational number field is uniquely expressible as the product of a ring automorphism, a graph automorphism and an inner automorphism while every isomorphism between simple adjoint Chevalley groups can be expressed uniquely as the product of a ring isomorphism, a graph isomorphism and an inner automorphism. The isomorphisms between the elementary subgroups are also found having analogous expressions.
9.
We study flat flag-transitive c.c *-geometries. We prove that, apart from one exception related to Sym(6), all these geometries are gluings in the meaning of [6]. They are obtained by gluing two copies of an affine space over GF(2). There are several ways of gluing two copies of the n-dimensional affine space over GF(2). In one way, which deserves to be called the canonical one, we get a geometry with automorphism group G = 22n · L n(2) and covered by the truncated Coxeter complex of type D 2 n . The non-canonical ways give us geometries with smaller automorphism group (G ≤ 22n · (2 n?1)n) and which seldom (never ?) can be obtained as quotients of truncated Coxeter complexes. 相似文献
10.
In the paper it is proved that the projective groupL
2(q) cannot be the automorphism group of a finite left distributive quasigroup. This is a special case of the conjecture according
to which the automorphism group of a left distributive quasigroup is solvable.
Translated fromMatematicheskie Zametki, Vol. 63, No. 5, pp. 725–728, May, 1998. 相似文献