共查询到20条相似文献,搜索用时 15 毫秒
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Donald G. Higman 《Mathematische Zeitschrift》1964,86(2):145-156
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Finite permutation groups of rank 3 such that both the subconstituents have rank 3 are classified. This is equivalent to classifying all finite undirected graphs with the following property: every isomorphism between subgraphs on at most three vertices is a restriction of an automorphism of the graph. 相似文献
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In this paper we give a method for constructing sharply 1-transitive permutation sets inside a finite permutation group with certain properties and we apply this method to obtain a family of sharply 1-transitive permutation subsets of the sharply 3-transitive permutation group M(p
2f
) on PG(1, p
2f
) for p
f
1 (mod 4).Work supported by G.N.S.A.G.A. and M.P.I. 相似文献
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C. J. E. Pinnock 《Proceedings of the American Mathematical Society》2002,130(10):2815-2819
We give two applications of the recent classification of locally finite simple finitary skew linear groups. We show that certain irreducible finitary skew linear groups of infinite dimension generate the variety of all groups and have infinite Prüfer rank.
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We determine the cyclic semi-regular subgroups of the 2-transitive permutation groups and with n a suitable power of a prime number p. 相似文献
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D. N. Azarov 《Russian Mathematics (Iz VUZ)》2014,58(8):15-23
For soluble groups of finite rank we obtain the necessary and sufficient condition to be a virtually residually finite p-group. We also prove that a soluble group G of finite rank is residually π-finite for some finite set π of primes if and only if it has no subgroups of type Q and the torsion radical of G is a finite group. 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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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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Olaf Tamaschke 《Annali di Matematica Pura ed Applicata》1968,80(1):235-279
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This note is an appendix to the paper “Osculating spaces and diophantine equations (with an Appendix by Pietro Corvaja and Umberto Zannier)” by M. Bolognesi and G. Pirola. 相似文献
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F. Mañosas 《Journal of Differential Equations》2011,251(6):1656-1669
In this paper we prove a criterion that provides an easy sufficient condition in order for any nontrivial linear combination of n Abelian integrals to have at most n+k−1 zeros counted with multiplicities. This condition involves the functions in the integrand of the Abelian integrals and it can be checked, in many cases, in a purely algebraic way. 相似文献