排序方式: 共有39条查询结果,搜索用时 31 毫秒
31.
This work has been divided in two parts. In the first part we give a sufficient conditions on an HNN extension of a free group
to be cyclic subgroup seperable. In the second part we define just subgroup separability on a split extension of special groups
which is actually on holomorph.
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We prove that certain 1-relator groups have Property E. Using this fact, we characterize all conjugacy separable 1-relator groups of the form a,b;(a-αbβaαbγ)t , t 1, having residually finite outer automorphism groups. 相似文献
35.
Let G be a group, and let α be a regular automorphism of order p2 of G, where p is a prime. If G is polycyclic-by-finite and the map ϕ : G →G defined by gϕ= [g,α] is surjective, then G is soluble. If G is polycyclic, then CG(αp) and G/[G,αp] are both nilpotent-by-finite. 相似文献
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设G是剩余有限minimax可解群,α是G的自同构且φ:G→G(g→[g,α])是满射,则有以下结果:(1)当α~p=1时,G是幂零类不超过h(p)的幂零群的有限扩张,其中h(p)是只与p有关的函数;(2)当α~4=1时,G存在一个指数有限的特征子群H,使得H″≤Z(H)和C_H(α~2)是Abel群.并且C_G(α~2)和G/[G,α~2]都是Abel群的有限扩张. 相似文献
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James McCarron 《Proceedings of the American Mathematical Society》1996,124(1):1-5
We determine explicitly the residually nilpotent one-relator groups with nontrivial centre. We show also that, if is a one-relator group, then is residually nilpotent if, and only if, its central quotient is residually nilpotent.
38.
Graham A. Niblo 《Journal of Algebra》1999,220(2):185
We show that residually finite or word hyperbolic groups which can be decomposed as a finite union of double cosets of a cyclic subgroup are necessarily virtually cyclic, and we apply this result to the study of Frobenius permutation groups. We show that in general, finite double coset decompositions of a group can be interpreted as an obstruction to splitting a group as a free product with amalgamation or an HNN extension. 相似文献
39.
Yongkuk Kim 《Proceedings of the American Mathematical Society》2000,128(5):1497-1506
Codimension-2 fibrators are -manifolds which automatically induce approximate fibration, in the following sense: given any proper mapping from an -manifold onto a -manifold such that each point-preimage is a copy of the codimension-2 fibrator, is necessarily an approximate fibration. In this paper, we give some answers to the following question: given an -manifold which is a nontrivial connected sum, when is a codimension-2 fibrator?