共查询到20条相似文献,搜索用时 0 毫秒
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H. D. Macpherson 《Periodica Mathematica Hungarica》1986,17(3):211-233
It is shown that ifG is a permutation group on an infinite setX, andG is (k?1)-transitive but notk-transitive (wherek ≥ 5), then the following hold:
- G is not (k + 3)-homogeneous.
- IfG is (k + 2)-homogeneous, then the group induced byG on ak-subset ofX is the alternating groupA k .
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P. J. Cameron 《Combinatorica》1981,1(4):343-347
Some generalisations to infinite permutation groups of familiar results on normal subgroups of finite multiply transitive
permutation groups are given, and the limits of these results are explored by means of examples. 相似文献
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Let G be a connected reductive group defined over F_q, the finite field with q elements. Let B be a Borel subgroup defined over F_q. In this paper, we completely determine the composition factors of the induced module M(tr) = kG ■tr(where tr is the trivial B-module) for any field k. 相似文献
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It is shown in [3] that any nonregular quasiprimitive permutation group is collapsing. In this paper we describe a wider class of collapsing permutation groups. Received June 6, 2000; accepted in final form August 11, 2000. 相似文献
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Olaf Tamaschke 《Annali di Matematica Pura ed Applicata》1968,80(1):235-279
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Jiongsheng Li 《中国科学 数学(英文版)》2000,43(1):22-27
An answer is given to a problem proposed by Bannai and Ito for {I, I + s, I + s + t}-sharp permutation group, and the result is used to determineL-sharp groups for L={I, I + 1, I + 3} and {I, I + 2, I + 3}. 相似文献
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V. D. Mazurov 《Siberian Mathematical Journal》1990,31(4):615-617
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Transitive lattice-ordered permutation groups 总被引:2,自引:0,他引:2
Charles Holland 《Mathematische Zeitschrift》1965,87(3):420-433
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Fred Galvin 《Proceedings of the American Mathematical Society》1996,124(6):1723-1725
A permutation group on a set of (infinite) cardinality is almost disjoint if no element of except the identity has fixed points, i.e., if is an almost disjoint family of subsets of . We show how almost disjoint permutation groups can be constructed from almost disjoint families of sets.
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LI Jiongsheng 《中国科学A辑(英文版)》2000,43(1)
An answer is given to a problem proposed by Bannai and Ito for {l,l+s,l+s+t}-sharp permutation group, and the result is used to determine L-sharp groups for L={l,l+1,l+3}and{l,l+2,l+3}. 相似文献
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Harold L. Putt 《Order》1984,1(2):173-185
In this note we discuss permutation groups (G, ) in which the set admits aG-invariant order. By aG-invariant partial order (G-partial order) we mean a partial order < of such that < implies g<g, for all and in andg inG. If the set admits aG-partial order which is a total order, then (G, ) is an O-permutation group (orderable permutation group).The main concern of this paper is the development of a foundation for partially ordered permutation groups analogous to the existing one for partially ordered groups, as found in Fuchs [2]. 相似文献
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Part of this work was done while the author was the recipient of RGC Grant 1423 awarded by the University of Alabama Research Grants Committee. 相似文献
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