Mathematical Proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, 2019

Journal Article

Proceedings of the London Mathematical Society, ISSN 0024-6115, 12/2019, Volume 119, Issue 6, pp. 1464 - 1492

An unrefinable chain of a finite group G is a chain of subgroups G=G0>G1>⋯>Gt=1, where each Gi is a maximal subgroup of Gi−1. The length (respectively, depth)...

20E32 | 20E15 (primary) | 20E28 (secondary)

20E32 | 20E15 (primary) | 20E28 (secondary)

Journal Article

Nagoya Mathematical Journal, ISSN 0027-7630, 03/2013, Volume 209, pp. 35 - 109

Journal Article

Proceedings of the London Mathematical Society, ISSN 0024-6115, 09/2017, Volume 115, Issue 3, pp. 449 - 501

In this paper, we examine embeddings of alternating and symmetric groups into almost simple groups of exceptional type. In particular, we prove that if the...

20G41 | 20E28 (primary) | 20D06 | ALGEBRAIC-GROUPS | MATHEMATICS | LARGE RANK | A SUBGROUPS | MAXIMAL-SUBGROUPS | Mathematics - Group Theory

20G41 | 20E28 (primary) | 20D06 | ALGEBRAIC-GROUPS | MATHEMATICS | LARGE RANK | A SUBGROUPS | MAXIMAL-SUBGROUPS | Mathematics - Group Theory

Journal Article

Duke Mathematical Journal, ISSN 0012-7094, 06/2005, Volume 128, Issue 3, pp. 541 - 557

We prove that the number of conjugacy classes of maximal subgroups of bounded order in a finite group of Lie type of bounded rank is bounded. For exceptional...

MATHEMATICS | 20E28 20G15 20D06

MATHEMATICS | 20E28 20G15 20D06

Journal Article

Mathematische Zeitschrift, ISSN 0025-5874, 10/2019, Volume 293, Issue 1, pp. 677 - 723

We study irreducible restrictions of modules over symmetric groups to subgroups. We get reduction results which substantially restrict the classes of subgroups...

Mathematics, general | Mathematics | 20E28 | 20C20 | 20C30 | MATHEMATICS | TENSOR-PRODUCTS | MAXIMAL-SUBGROUPS | MODULAR-REPRESENTATIONS | BRANCHING-RULES | ALTERNATING GROUP | Analysis | Algebra

Mathematics, general | Mathematics | 20E28 | 20C20 | 20C30 | MATHEMATICS | TENSOR-PRODUCTS | MAXIMAL-SUBGROUPS | MODULAR-REPRESENTATIONS | BRANCHING-RULES | ALTERNATING GROUP | Analysis | Algebra

Journal Article

Mathematische Zeitschrift, ISSN 0025-5874, 2/2019, Volume 291, Issue 1, pp. 741 - 760

Let G be a connected algebraic group. An unrefinable chain of G is a chain of subgroups $$G = G_0> G_1> \cdots > G_t = 1$$ G = G 0 > G 1 > ⋯ > G t = 1 , where...

Primary 20E32 | Mathematics, general | Secondary 20G15 | Mathematics | 20E28 | 20E15 | MATHEMATICS

Primary 20E32 | Mathematics, general | Secondary 20G15 | Mathematics | 20E28 | 20E15 | MATHEMATICS

Journal Article

Mathematical Programming, ISSN 0025-5610, 5/2006, Volume 106, Issue 3, pp. 491 - 511

The best exact algorithms for the Capacitated Vehicle Routing Problem (CVRP) have been based on either branch-and-cut or Lagrangean relaxation/column...

Mathematical Methods in Physics | 20G40 | 20C20 | Mathematics of Computing | Numerical Analysis | Mathematical and Computational Physics | Calculus of Variations and Optimal Control | Mathematics | 20E28 | Combinatorics | Optimization | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | RELAXATIONS | DISPATCHING PROBLEM | ALGORITHM | TREE | TIME WINDOWS | DELIVERY | Algorithms | Studies

Mathematical Methods in Physics | 20G40 | 20C20 | Mathematics of Computing | Numerical Analysis | Mathematical and Computational Physics | Calculus of Variations and Optimal Control | Mathematics | 20E28 | Combinatorics | Optimization | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | RELAXATIONS | DISPATCHING PROBLEM | ALGORITHM | TREE | TIME WINDOWS | DELIVERY | Algorithms | Studies

Journal Article

Communications in Algebra, ISSN 0092-7872, 02/2019, Volume 47, Issue 2, pp. 541 - 552

In this paper we study probabilistic aspects such as the (cyclic) subgroup commutativity degree and different types of factorization numbers of ZM-groups. We...

Cyclic factorization number | 20P05 | subgroup commutativity degree | Secondary 20D30 | number of maximal factorizations | Primary 20D60 | 20E28 | 20F16 | cyclic subgroup commutativity degree | factorization number | MATHEMATICS | ELEMENTS | FACTORIZATION NUMBERS | COMMUTATIVITY DEGREES | FINITE | Commutativity | Subgroups

Cyclic factorization number | 20P05 | subgroup commutativity degree | Secondary 20D30 | number of maximal factorizations | Primary 20D60 | 20E28 | 20F16 | cyclic subgroup commutativity degree | factorization number | MATHEMATICS | ELEMENTS | FACTORIZATION NUMBERS | COMMUTATIVITY DEGREES | FINITE | Commutativity | Subgroups

Journal Article

Archiv der Mathematik, ISSN 0003-889X, 6/2011, Volume 96, Issue 6, pp. 501 - 506

For a finite solvable group G and prime number p, we use elementary methods to obtain an upper bound for $${\mathfrak {m}_{p}(G)}$$ , defined as the number of...

Mathematics, general | 20D10 | Solvable groups | Mathematics | 20E28 | Maximal subgroups | MATHEMATICS | Mathematics Subject Classification : 20E28, 20D10

Mathematics, general | 20D10 | Solvable groups | Mathematics | 20E28 | Maximal subgroups | MATHEMATICS | Mathematics Subject Classification : 20E28, 20D10

Journal Article

Mathematical Programming, ISSN 0025-5610, 11/2000, Volume 89, Issue 1, pp. 149 - 185

An algorithm for minimizing a nonlinear function subject to nonlinear inequality constraints is described. It applies sequential quadratic programming...

constrained optimization – interior point method – large-scale optimization – nonlinear programming – primal method – primal-dual method – SQP iteration – barrier method – trust region method Mathematics Subject Classification : 20E28, 20G40, 20C20 | Barrier method | SQP iteration | Interior point method | Large-scale optimization | Primal method | Nonlinear programming | Constrained optimization | Primal-dual method | Trust region method | MATHEMATICS, APPLIED | trust region method | nonlinear programming | ALGORITHM | IMPLEMENTATION | interior point method | primal method | primal-dual method | COMPUTER SCIENCE, SOFTWARE, GRAPHICS, PROGRAMMING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | large-scale optimization | MINIMIZATION | barrier method | constrained optimization

constrained optimization – interior point method – large-scale optimization – nonlinear programming – primal method – primal-dual method – SQP iteration – barrier method – trust region method Mathematics Subject Classification : 20E28, 20G40, 20C20 | Barrier method | SQP iteration | Interior point method | Large-scale optimization | Primal method | Nonlinear programming | Constrained optimization | Primal-dual method | Trust region method | MATHEMATICS, APPLIED | trust region method | nonlinear programming | ALGORITHM | IMPLEMENTATION | interior point method | primal method | primal-dual method | COMPUTER SCIENCE, SOFTWARE, GRAPHICS, PROGRAMMING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | large-scale optimization | MINIMIZATION | barrier method | constrained optimization

Journal Article

Archiv der Mathematik, ISSN 0003-889X, 7/2013, Volume 101, Issue 1, pp. 9 - 15

For a finite group G, let m(G) denote the set of maximal subgroups of G and π(G) denote the set of primes which divide |G|. When G is a cyclic group, an...

Mathematics, general | 20D10 | Mathematics | 20E28 | Finite group | Maximal subgroup | MATHEMATICS

Mathematics, general | 20D10 | Mathematics | 20E28 | Finite group | Maximal subgroup | MATHEMATICS

Journal Article

Mathematische Annalen, ISSN 0025-5831, 4/2017, Volume 367, Issue 3, pp. 1259 - 1309

Let G be a simple algebraic group over an algebraically closed field K of characteristic $$p\geqslant 0$$ p ⩾ 0 , let H be a proper closed subgroup of G and...

Primary 20G05 | 20E32 | Mathematics, general | Secondary 20E28 | Mathematics | OVERGROUPS | MATHEMATICS | LINEAR-GROUPS

Primary 20G05 | 20E32 | Mathematics, general | Secondary 20E28 | Mathematics | OVERGROUPS | MATHEMATICS | LINEAR-GROUPS

Journal Article

Communications in Algebra, ISSN 0092-7872, 10/2014, Volume 42, Issue 10, pp. 4498 - 4508

Let λ(G) be the maximum number of subgroups in an irredundant covering of the finite group G. In this note we investigate the basic properties of λ(G),...

Maximal | Subgroup | Secondary 20D60, 20D15 | Primary 20E07, 20E28 | Irredundant covering | MATHEMATICS | MINIMAL COVERINGS | SUBGROUPS | Covering | Algebra | Coverings | Mathematical analysis | Subgroups | Classification

Maximal | Subgroup | Secondary 20D60, 20D15 | Primary 20E07, 20E28 | Irredundant covering | MATHEMATICS | MINIMAL COVERINGS | SUBGROUPS | Covering | Algebra | Coverings | Mathematical analysis | Subgroups | Classification

Journal Article

Communications in Algebra, ISSN 0092-7872, 11/2013, Volume 41, Issue 11, pp. 4116 - 4145

In this article, we prove a conjecture of J. G. Thompson for the finite simple group 2 D n (q). More precisely, we show that every finite group G with the...

Conjugacy classes | Classification theorem of finite simple groups | Minimal normal subgroup | MATHEMATICS | 20D20 | ORDERS | 20E28 | 20D06 | PRIME GRAPH COMPONENTS | Mathematical analysis | Algebra

Conjugacy classes | Classification theorem of finite simple groups | Minimal normal subgroup | MATHEMATICS | 20D20 | ORDERS | 20E28 | 20D06 | PRIME GRAPH COMPONENTS | Mathematical analysis | Algebra

Journal Article

Communications in Mathematics and Statistics, ISSN 2194-6701, 9/2018, Volume 6, Issue 3, pp. 289 - 317

According to Hall, a subgroup H of a group G is said to be pronormal if H and $$H^g$$ Hg are conjugate in $$\langle H,H^g\rangle $$ ⟨H,Hg⟩ for every $$g\in G$$...

Subgroup of odd index | Hall $$\pi $$ π -subgroup | 20D10 | Submaximal $$\mathfrak X$$ X -subgroup | 20D20 | Mathematics, general | Mathematics | 20E28 | Statistics, general | 20D05 | Pronormal subgroup | 20D35

Subgroup of odd index | Hall $$\pi $$ π -subgroup | 20D10 | Submaximal $$\mathfrak X$$ X -subgroup | 20D20 | Mathematics, general | Mathematics | 20E28 | Statistics, general | 20D05 | Pronormal subgroup | 20D35

Journal Article

Monatshefte für Mathematik, ISSN 0026-9255, 3/2018, Volume 185, Issue 3, pp. 455 - 472

We give an elementary proof of the following remark: if G is a finite group and $$\{g_1,\ldots ,g_d\}$$ {g1,…,gd} is a generating set of G of smallest...

Group generation | Permutation groups | Primary 20E28 | Mathematics, general | Mathematics | 20F05 | Primitive groups | Maximal subgroups | Secondary 20B15 | PRIMITIVE PERMUTATION-GROUPS | MATHEMATICS | Electric generators

Group generation | Permutation groups | Primary 20E28 | Mathematics, general | Mathematics | 20F05 | Primitive groups | Maximal subgroups | Secondary 20B15 | PRIMITIVE PERMUTATION-GROUPS | MATHEMATICS | Electric generators

Journal Article

Mathematical Programming, ISSN 0025-5610, 01/2001, Volume 89, Issue 2, pp. 273 - 291

This paper examines a new approach for credit risk optimization. The model is based on the Conditional Value-at-Risk (CVaR) risk measure, the expected loss...

Mathematics Subject Classification : 20E28, 20G40, 20C20 | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE

Mathematics Subject Classification : 20E28, 20G40, 20C20 | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE

Journal Article

Communications in Algebra, ISSN 0092-7872, 12/2012, Volume 40, Issue 12, pp. 4494 - 4508

Given a finite group G, the Dirichlet polynomial of G is The multiplicative counterpart of this polynomial is called the Probabilistic Zeta function of the...

Chief factors | Secondary 11M41, 20D06, 20E28 | Dirichlet polynomial | Probabilistic Zeta function | Primary 20D30 | MATHEMATICS

Chief factors | Secondary 11M41, 20D06, 20E28 | Dirichlet polynomial | Probabilistic Zeta function | Primary 20D30 | MATHEMATICS

Journal Article

Science China Mathematics, ISSN 1674-7283, 3/2014, Volume 57, Issue 3, pp. 499 - 514

In this article, we prove a conjecture of Thompson for an infinite class of simple groups of Lie type E 7(q). More precisely, we show that every finite group G...

simple group | 20D20 | centralizer | Mathematics | 20E28 | Applications of Mathematics | 20D06 | minimal normal subgroup | conjugacy classe

simple group | 20D20 | centralizer | Mathematics | 20E28 | Applications of Mathematics | 20D06 | minimal normal subgroup | conjugacy classe

Journal Article

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