Results 41 to 50 of about 1,402,642 (202)
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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Maximal Subgroups and Irreducible Representations of Generalized Multi-Edge Spinal Groups [PDF]
Let p ≥ 3 be a prime. A generalized multi-edge spinal group $$G = \langle \{ a\} \cup \{ b_i^{(j)} {\rm \mid }1 \le j \le p,\, 1 \le i \le r_j\} \rangle \le {\rm Aut}(T)$$ is a subgroup of the automorphism group of a regular p-adic rooted tree T that is ...
B. Klopsch, A. Thillaisundaram
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The depth of the maximal subgroups of Ree groups [PDF]
We determine the combinatorial and the ordinary depth of the maximal subgroups of the simple Ree groups 2G2(q). As an application of these calculations, we determine the subdegrees of primitive actions of the groups 2G2(q).
L'aszl'o H'ethelyi +2 more
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Algebraic subgroups of the group of birational transformations of ruled surfaces [PDF]
We classify the maximal algebraic subgroups of Bir(CxPP^1), when C is a smooth projective curve of positive genus.
Pascal Fong
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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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Finite groups whose all second maximal subgroups are cyclic
In this paper, we give a complete classification of the finite groups G whose second maximal subgroups are ...
Ma Li, Meng Wei, Ma Wanqing
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Influence of complemented subgroups on the structure of finite groups [PDF]
P. Hall proved that a finite group $G$ is supersoluble with elementary abelian Sylow subgroups if and only if every subgroup of $G$ is complemented in $G$. He called such groups complemented. A. Ballester-Bolinches and X.
Izabela Malinowska
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The strong nil-cleanness of semigroup rings
In this paper, we study the strong nil-cleanness of certain classes of semigroup rings. For a completely 0-simple semigroup M=ℳ0(G;I,Λ;P)M={ {\mathcal M} }^{0}(G;I,\text{Λ};P), we show that the contracted semigroup ring R0[M]{R}_{0}{[}M] is ...
Ji Yingdan
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Maximal 3-local subgroups of symmetric groups [PDF]
The subgroups in the set max G B, consisting of all maximal 3-local subgroups of G Sym n ( ) with respect to B,the normalizer of a Sylow 3-subgroup of G in G, is investigated.
Punnzeyar Patthanangkoor +1 more
doaj
Given a non-commutative F-central division ring D, N a subnormal subgroup of G L n ( D ) and M a non-abelian maximal subgroup of N, if M is a non-abelian soluble maximal subgroup of N, then, n = 1 and D is cyclic of prime degree p with a maximal cyclic ...
R. FALLAH-MOGHADDAM
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