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This volume forms a valuable source of information on recent developments in research in combinatorics, with special regard to the geometric point of view. Topics covered include: finite geometries (arcs, caps, special varieties in a Galois space; generalized quadrangles; Benz planes; foundation of geometry), partial geometries, Buekenhout geometries, transitive permutation sets, flat-transitive geometries, design theory, finite groups, near-rings and semifields, MV-algebras, coding theory, cryptography and graph theory in its geometric and design aspects.
Silk Hope, NC is a buoyant and moving parable in which two good women find, among the hidden, forgotten virtues of the past, a sustenance to carry them into the future.
This volume contains a collection of papers on the subject of the classification of finite simple groups.
Jacques Tits was awarded the Wolf Prize in 1993 and the Abel Prize (jointly with John Thompson) in 2008. The impact of his contributions in algebra, group theory and geometry made over a span of more than five decades is incalculable. Many fundamental developments in several fields of mathematics have their origin in ideas of Tits. A number of Tits' papers mark the starting point of completely new directions of research. Outstanding examples are papers on quadratic forms, on Kac-Moody groups and on what subsequently became known as the Tits alternative. These volumes contain an almost complete collection of Tits' mathematical writings. They include, in particular, a number of published and unpublished manuscripts which have not been easily accessible until now. This collection of Tits' contributions in one place makes the evolution of his mathematical thinking visible. The development of his theory of buildings and BN-pairs and its bearing on the theory of algebraic groups, for example, reveal a fascinating story. Along with Tits' mathematical writings, these volumes contain biographical data, survey articles on aspects of Tits' work, and comments by the editors on the content of some of his papers. With the publication of these volumes, a major piece of 20th-century mathematics is being made available to a wider audience.
Recent developments in all aspects of combinatorial and incidence geometry are covered in this volume, including their links with the foundations of geometry, graph theory and algebraic structures, and the applications to coding theory and computer science.Topics covered include Galois geometries, blocking sets, affine and projective planes, incidence structures and their automorphism groups. Matroids, graph theory and designs are also treated, along with weak algebraic structures such as near-rings, near-fields, quasi-groups, loops, hypergroups etc., and permutation sets and groups.The vitality of combinatorics today lies in its important interactions with computer science. The problems which arise are of a varied nature and suitable techniques to deal with them have to be devised for each situation; one of the special features of combinatorics is the often sporadic nature of solutions, stemming from its links with number theory. The branches of combinatorics are many and various, and all of them are represented in the 56 papers in this volume.
This series is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.
by Gian-Carlo Rota The subjects of mathematics, like the subjects of mankind, have finite lifespans, which the historian will record as he freezes history at one instant of time. There are the old subjects, loaded with distinctions and honors. As their problems are solved away and the applications reaped by engineers and other moneymen, ponderous treatises gather dust in library basements, awaiting the day when a generation as yet unborn will rediscover the lost paradise in awe. Then there are the middle-aged subjects. You can tell which they are by roaming the halls of Ivy League universities or the Institute for Advanced Studies. Their high priests haughtily refuse fabulous offers from eager provin cial universities while receiving special permission from the President of France to lecture in English at the College de France. Little do they know that the load of technicalities is already critical, about to crack and submerge their theorems in the dust of oblivion that once enveloped the dinosaurs. Finally, there are the young subjects-combinatorics, for instance. Wild eyed individuals gingerly pick from a mountain of intractable problems, chil dishly babbling the first words of what will soon be a new language. Child hood will end with the first Seminaire Bourbaki. It could be impossible to find a more fitting example than matroid theory of a subject now in its infancy. The telltale signs, for an unfailing diagnosis, are the abundance of deep theorems, going together with a paucity of theories.
Two transgender elders must learn to weave from Death in order to defeat an evil ruler--a tyrant who murders rebellious women and hoards their bones and souls--in the first novella set in the award-winning queer fantasy Birdverse universe "I am staggered by the richness and intricacy of R. B. Lemberg's imagination. The Four Profound Weaves is an intense and emotional story of a journey of change, growth, and courage." --Kate Elliott, New York Times bestselling author of the Court of Fives trilogy Wind: To match one's body with one's heart Sand: To take the bearer where they wish Song: In praise of the goddess Bird Bone: To move unheard in the night The Surun' nomads do not speak of the master weaver, Benesret, who creates the cloth of bone for assassins in the Great Burri Desert. But aged Uiziya must find her aunt in order to learn the final weave, although the price for knowledge may be far too dear to pay. Among the Khana in the springflower city of Iyar, women travel in caravans to trade, while men remain in the inner quarter, as scholars. A nameless man struggles to embody Khana masculinity, after many years of performing the life of a woman, trader, wife, and grandmother. As his past catches up, the man must choose between the life he dreamed of and Uiziya - while Uiziya must discover how to challenge the evil Ruler of Iyar, and to weave from deaths that matter. In this breathtaking debut set in R. B. Lemberg's beloved Birdverse, The Four Profound Weaves hearkens to Ursula Le Guin's The Left Hand of Darkness, and offers a timeless chronicle of claiming one's identity in a hostile world. About the Birdverse The Birdverse is the creation of fantasy author R. B. Lemberg. It is a complex, culturally diverse world, with a range of LGBTQIA characters and different family configurations. Named after its deity, Bird, Birdverse works have been nominated for the Nebula award, longlisted for the Hugo award and the Tiptree award, placed in the Rhysling award, won the Strange Horizons readers' poll, and more. The Four Profound Weaves is the first full-length work set in the Birdverse.
Included here are articles from many of the leading practitioners in the field, including, for the first time, several distinguished Russian mathematicians. Many of the papers contain important new results, and the growing use of computer algebra packages in this area is also demonstrated.