Results 31 to 40 of about 1,367,812 (370)
Profinite Groups Associated to Sofic Shifts are Free [PDF]
We show that the maximal subgroup of the free profinite semigroup associated by Almeida to an irreducible sofic shift is a free profinite group, generalizing an earlier result of the second author for the case of the full shift (whose corresponding ...
Costa, Alfredo, Steinberg, Benjamin
core +3 more sources
Maximal Compact Normal Subgroups [PDF]
A locally compact group G has a maximal compact subgroup if and only if \(G/G_ 0\) has a maximal compact subgroup (Theorem 1). In a totally disconnected locally compact group (such as \(G/G_ 0\) above), every compact subgroup is contained in an open compact subgroup; in particular, maximal compact subgroups are necessarily open.
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Maximal subgroups of finite groups
In finite groups maximal subgroups play a very important role. Results in the literature show that if the maximal subgroup has a very small index in the whole group then it influences the structure of the group itself.
S. Srinivasan
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Avoiding maximal parabolic subgroups of S_k [PDF]
We find an explicit expression for the generating function of the number of permutations in S_n avoiding a subgroup of S_k generated by all but one simple transpositions. The generating function turns out to be rational, and its denominator is a rook polynomial for a rectangular board.
Mansour, Toufik, Vainshtein, Alek
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Maximal Subgroups of Symmetric Groups
The purpose of this paper is to give estimates on the number of conjugacy classes of maximal subgroups of the finite symmetric groups \(S_n\), on \(n\) letters in terms of \(n\). It is shown that this number is of the form \((\frac12+o(1))n\). The main work has to be done in establishing that \(S_n\) has at most \(n^{6/11+o(1)}\) conjugacy classes of ...
Liebeck, Martin W., Shalev, Aner
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A note on finite group structure influenced by second and third maximal subgroups
The structure of a finite group having specified number of second and third maximal subgroups has been investigated in the paper.
N. P. Mukherjee, R. Khazal
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Maximal subgroups of symmetric groups [PDF]
The cardinality of M shall be denoted by I MI. The support of s e S(M) is defined by spts={xeM:s(x)#x}. The fixed set of s=fs s={xeM:s(x)=x} = M-s spts.IfIMI = X > d,d < Y < X +,defineS(X,Y) ={scES(M): I spts |< Y}. The alternating subgroup shall be denoted A(X).
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The maximal subgroups of [PDF]
Here we determine up to conjugacy all the maximal subgroups of the finite exceptional group of Lie-type$E_{7}(2)$.Supplementary materials are available with this article.
John Ballantyne +2 more
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The Restriction Principle and Commuting Families of Toeplitz Operators on the Unit Ball [PDF]
On the unit ball B^n we consider the weighted Bergman spaces H_\lambda and their Toeplitz operators with bounded symbols. It is known from our previous work that if a closed subgroup H of \widetilde{\SU(n,1)} has a multiplicity-free restriction for the ...
Dawson, M. +2 more
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Some Characterizations for Approximate Biflatness of Semigroup Algebras
In this paper, we study an approximate biflatness of l1S, where S is a Clifford semigroup. Indeed, we show that a Clifford semigroup algebra l1S is approximately biflat if and only if every maximal subgroup of S is amenable, ES is locally finite, and l1S
N. Razi, A. Sahami
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