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71.
N. V. Buskin 《Siberian Mathematical Journal》2009,50(2):231-232
Granted the three integers n ≥ 2, r, and R, consider all ordered tuples of r elements of length at most R in the free group F n . Calculate the number of those tuples that generate in F n a rank r subgroup and divide it by the number of all tuples under study. As R → ∞, the limit of the ratio is known to exist and equal 1 (see [1]). We give a simple proof of this result. 相似文献
72.
Yu. M. Gorchakov 《Siberian Mathematical Journal》2009,50(4):632-636
We find the sharp bound for the nilpotency class of the quotients of subdirect products of groups. 相似文献
73.
A subgroup H of finite group G is called pronormal in G if for every element x of G, H is conjugate to H
x
in 〈H, H
x
〉. A finite group G is called PRN-group if every cyclic subgroup of G of prime order or order 4 is pronormal in G. In this paper, we find all PRN-groups and classify minimal non-PRN-groups (non-PRN-group all of whose proper subgroups are PRN-groups). At the end of the paper, we also classify the finite group G, all of whose second maximal subgroups are PRN-groups. 相似文献
74.
Abdellah Sebbar 《Proceedings of the American Mathematical Society》2001,129(9):2517-2527
We study and classify all torsion-free genus zero congruence subgroups of the modular group.
75.
Eugenia Stoimenova 《Annals of the Institute of Statistical Mathematics》2000,52(2):255-266
Rank tests based on the maximum number of exceeding observations for several standard nonparametric hypotheses are proposed. An approach to constructing nonparametric rank tests via metrics on the permutation group is used. The test statistics are based on a metric induced by Chebyshev's norm. 相似文献
76.
极大子群的性质对有限群结构的影响 总被引:1,自引:0,他引:1
设H为有限群G的一个子群。称H在G中是s-半正规的,若对任意的素数p||G|,只要(p,|H|)=1,就有PH=HP,其中P∈Sylp(G);称H在G中是c-可补的,若存在G的子群N,使得G=HN且H∩N≤HG=CoreG(H)。证明了下面定理设F是一个包含超可解群类U的饱和群系,H△G,且G/H∈F。则G∈F,若下列条件之一成 相似文献
77.
Let P be a Sylow p-subgroup of a group G with the smallest generator number d,where p is a prime.Denote by M_d(P) = {P_1,P_(2,...,)P_d} a set of maximal subgroups of P such that φ(P) = ∩_(n=1)~dP_n.In this paper,we investigate the structure of a finite group G under the assumption that the maximal subgroups in M_d(P) are weakly s-permutably embedded in G,some interesting results are obtained which generalize some recent results.Finally,we give some further results in terms of weakly s-permutably embedded subgroups. 相似文献
78.
79.
Enrico Leuzinger 《Differential Geometry and its Applications》2004,20(3):141-318
The results in this paper are based on a previously constructed exhaustion of a locally symmetric space V=ΓX by Riemannian polyhedra, i.e., compact submanifolds with corners: V=s0V(s). We show that the interior of every polyhedron V(s) is homeomorphic to V. The universal covering space X(s) of V(s) is quasi-isometric to the discrete group Γ. It can be written as the complement of a Γ-invariant union of horoballs in X (which in general have intersections giving rise to the corners). This yields exponential isoperimetric inequalities for Γπ1(V(s)). We also discuss the relation of this compactification of V with the Borel–Serre compactification. 相似文献
80.
XU Mingchun 《中国科学A辑(英文版)》2006,49(9)
In this paper the author has solved a problem of Abe and liyori for the finite simple groups 2F4(q) and 2F4(2)'. 相似文献