3 edition of **subgroups of the generalized finite modular group** found in the catalog.

subgroups of the generalized finite modular group

Eliakim Hastings Moore

- 259 Want to read
- 18 Currently reading

Published
**1903**
by University of Chicago Press in Chicago
.

Written in English

- Group theory.

**Edition Notes**

Printed from First series, v. 9 (p. 141-190) of the Decennial publications of the University of Chicago.

Statement | by Eliakim Hastings Moore. |

Classifications | |
---|---|

LC Classifications | QA271 .M82 |

The Physical Object | |

Pagination | 52 p. |

Number of Pages | 52 |

ID Numbers | |

Open Library | OL6941584M |

LC Control Number | 04015385 |

OCLC/WorldCa | 4389656 |

Generalized fullerene-like lattices, and itinerant interacting electrons The construction is based on a hierarchy of finite, finitely presented groups derived from subgroups of the modular group. The infinite lattices obtainable are schwartzite-like tubular structures. The Hubbard model is then discussed, in the three most commonly adopted. Generalized quaternion groups 12 2-Groups without non-cyclic abelian characteristic subgroups 15 Transfer and fusion of elements 25 Coprime group actions 34 Simple groups with dihedral or semi-dihedral Sylow 2-subgroups 38 Simple groups with strongly embedded subgroups 40 2 Group representations and character theory

CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Abstract. We define generalized Frobenius-Schur indicators for objects in a linear pivotal category C. An equivariant indicator of an object is defined as a functional on the Grothendieck algebra of the quantum double Z(C) of C using the values of the generalized Frobenius-Schur indicators. ALL FINITE GENERALIZED TRIANGLE GROUPS L. LEVAI, G. ROSENBERGER, AND B. SOUVIGNIER Abstract. We complete the classification of those generalized triangle groups that are finite. INTRODUCTION A generalized triangle group is one given by a presentation (a, b\ap = bq = Rm = 1), where p, q, m are integers greater than 1, and R is a word of the.

Given a finite modular tensor category, we associate with each compact surface with boundary a cochain complex in such a way that the mapping class group of the surface acts projectively on its. Let σ={σi|i∈I} be a partition of the set of all primes P and G a finite group. A set H of subgroups of G is said to be a complete Hall σ-set of G if every member ≠1 of H is a Hall σi.

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Subgroups of the generalized finite modular group. Chicago, University of Chicago Press, (OCoLC) Document Type: Book: All Authors / Contributors: Eliakim Hastings Moore.

"The monumental classification of finite simple groups, which occupies s pages spread over journal articles, is now complete, and the complete list of the finite simple groups has attracted wide Atlas brings together detailed information about these groups--their construction, character tables, maximal subgroups, and prefatory material is as clear and 5/5(1).

In this paper, we give some new conditions under which a normal subgroup E of a finite group G is hypercyclically embedded in G, that is, every chief factor of G below E is cyclic. Keywords: Finite group, generalized m-S-permutable subgroup, hypercyclically embedded subgroup, modular subgroup, m-S-permutable subgroupAuthor: Jianhong Huang, Bin Hu.

In this chapter the questions and results of the first chapter for the homogeneous and inhomogeneous modular group will be carried over and extended to its subgroups.

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Abstract. Let G be a finite group and H a subgroup of say that H: is generalized S-quasinormal in G if \(H=\left\langle A,B\right\rangle \) for some modular subgroup A and S-quasinormal subgroup B of G; m-S-complemented in G if there are a generalized S-quasinormal subgroup S and a subgroup T of G such that \(G=HT\) and \(H\cap T\le S\le H\).In this paper, we study finite groups Author: Khaled A.

Al-Sharo. multiple of 6 (see [3] or [6]) and there are only finitely many normal subgroups of r of a given finite index p, since the total number of subgroups of a given finite index in a finitely generated group is finite.

The purpose of this article is to obtain some information about the function N{p), the number of normal subgroups of T of index p. Chapter Galois groups and congruence subgroups Abstract We prove that the kernel of the action of the modular group on the center of a semisimple factorizable Hopf algebra is a congruence subgroup whenever this action is linear.

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groups whose orders are divisible by ps, ps and p* was given by R. Borger.* As a result of the determination of the ternary modular groups in this paper, the subgroups of the two systems of simple groups, LF(3, pk) and HO{ §,p°c), are found in the cases where p is an odd prime, f The LF(3, pk) is the group.

In the lists of subgroups, the trivial group and the group itself are not listed. Where there are several isomorphic subgroups, the number of such subgroups is indicated in parentheses. List of small abelian groups. The finite abelian groups are either cyclic groups, or direct products thereof; see abelian groups.

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