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[PDF] Top 20 String C groups as transitive subgroups of Sn

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String C groups as transitive subgroups of Sn

String C groups as transitive subgroups of Sn

... is transitive but imprimitive, with m blocks of imprimitivity each of size k, where we have chosen the block system so that the blocks are ...the string diagram with at most two connected ... See full document

12

A Monograph on the classification of the discrete subgroups of SU(4)

A Monograph on the classification of the discrete subgroups of SU(4)

... finite subgroups of SL(n = 2, 3; C) have been completely classified; works related to string orbifold theories and quiver theories have of late used these results (see for example [5, 6, 8, 13] as ... See full document

13

A characterization of soluble groups in which normality is a transitive relation

A characterization of soluble groups in which normality is a transitive relation

... a transitive relation or, equivalently, if all subnormal subgroups of G are normal in ...finite groups of these types can be traced back to the 1940s, and in their seminal papers ... See full document

7

Subgroups of quasi HNN groups

Subgroups of quasi HNN groups

... The following lemma is essential for the proof of the main theorem of the paper. Lemma 5.1 . A group is a quasi-HNN group if and only if there is a tree on which the group acts with inversion and is transitive on ... See full document

13

On the Conjugacy Classes, Centers and Representation of the Groups Sn and Dn and the subgroups of the Dihedral group Dn.

On the Conjugacy Classes, Centers and Representation of the Groups Sn and Dn and the subgroups of the Dihedral group Dn.

... of Sn and Dn were examined and their Conjugacy ...in Sn have the same cycle type, i.e. if α,σ∈ Sn such that α is conjugate to σ, then l(α) = ... See full document

8

Most primitive groups are full automorphism groups of edge transitive hypergraphs

Most primitive groups are full automorphism groups of edge transitive hypergraphs

... Estimates for (b) are given in the next two sections; we separate the cases of large and small maximal subgroups. In section 5 we prove a uniform bound exp(−c √ n) for (c), using elementary bounds on ... See full document

15

Structure of Groups with Generalized Normal Subgroups

Structure of Groups with Generalized Normal Subgroups

... all subgroups of a group G are almost normal, then they must be also nearly ...of groups in which every in- finite subgroup is almost normal and that of groups in which all infinite subgroups ... See full document

8

Unipotent subgroups of reductive algebraic groups

Unipotent subgroups of reductive algebraic groups

... 3.3.1 Let G be a connected semisimple algebraic group of adjoint type defined over Suppose we have established the MT for an algebraically closed field of characteristic p>0... simple ad[r] ... See full document

146

Quasiconvex subgroups and nets in hyperbolic groups

Quasiconvex subgroups and nets in hyperbolic groups

... In a hyperbolic space, quasigeodesics remain uniformly close to geodesics by the Morse Lemma. Quasiconvex subspaces, those in which geodesic segments starting in the subspace remain in a bounded neighborhood of it for ... See full document

51

Model subgroups of finite soluble groups

Model subgroups of finite soluble groups

... /C c (G ') has order co-prime to p and we can derive a contradiction to the uniqueness o f K by applying Maschke’s theorem to the elementary abelian group G\ regarded as an Fp[G /C c(G ')]-m ... See full document

186

Conjugacy and subgroups of word hyperbolic groups

Conjugacy and subgroups of word hyperbolic groups

... The run-time of the algorithms detailed here appears to be unchanged when they are run on a Turing machine, provided the machine is given a sufficiently large num- ber of states, symbols, heads and tapes (the number of ... See full document

133

Cyclic permutable subgroups of finite groups

Cyclic permutable subgroups of finite groups

... It follows from Theorem 1.1 and [9, Theorem 2.3.1] that in a finite group the normal closure of a cyclic permutable subgroup of odd order is a modular group, giving a positive answer to [r] ... See full document

9

The irreducible subgroups of exceptional algebraic groups

The irreducible subgroups of exceptional algebraic groups

... X will be defined for all p ≥ k except l and given ID number na. At this point we will consider the subgroups of X for all p ≥ k together. There are instances where the subgroup X occurs again in the table. If X ... See full document

197

Reducible subgroups of exceptional algebraic groups

Reducible subgroups of exceptional algebraic groups

... Reductive subgroups of reductive groups are an important special instance of this ...parabolic subgroups and reductive subgroups, for instance a maximal connected subgroup of G is either ... See full document

48

Covering monolithic groups with proper subgroups

Covering monolithic groups with proper subgroups

... Abstract. Given a finite non-cyclic group G, call σ(G) the smallest number of proper subgroups of G needed to cover G. Lucchini and Detomi conjectured that if a nonabelian group G is such that σ(G) < σ(G/N ) ... See full document

14

Groups with all subgroups permutable or soluble

Groups with all subgroups permutable or soluble

... It seems to be unknown in the soluble case whether this bound is the best possible, even in the case when d = 1. There are some consequences of this result that are also of interest and these will become evident during ... See full document

7

Finite groups whose minimal subgroups are weakly $\mathcal{H}^{\ast}$-subgroups

Finite groups whose minimal subgroups are weakly $\mathcal{H}^{\ast}$-subgroups

... Proof. Assume that the result is false and let G be a counterexample of minimal order. By using Lemma 2.2(a) and repeated applications of Lemma 3.2, G has a Sylow tower of supersolvable type. Let p be the largest prime ... See full document

11

Between Empire and the Civil Nation: a Vector of Russia in Consciousness of the Russian Province Inhabitants

Between Empire and the Civil Nation: a Vector of Russia in Consciousness of the Russian Province Inhabitants

... generational groups were allocated on the basis of experience of direct interaction with base institutes of civil and political character - Soviet and ...allocated groups are rather conventional; they are ... See full document

7

On inequalities of subgroups and the structure of finite groups

On inequalities of subgroups and the structure of finite groups

... finite groups can be obtained under the assumption that some families of subgroups are complemented ...sub- groups may not be ...of subgroups related closely to supplementarity of ... See full document

7

Commuting-Liftable Subgroups of Galois Groups

Commuting-Liftable Subgroups of Galois Groups

... Galois groups as its input, which are far more computable in comparison with the full pro-` Galois group; however, this theory only works for fields which contain an algebraically closed ... See full document

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