Theory of Association Schemes is the first concept-oriented treatment of the structure theory of association schemes. It contains several recent results which appear for the first time in book form. The generalization of Sylow 's group theoretic theorems to scheme theory arises as a consequence of arithmetical considerations about quotient schemes. The theory of Coxeter schemes (equivalent to the theory of buildings) emerges naturally and yields a purely algebraic proof of Tits main theorem on buildings of spherical type. Also a scheme-theoretic characterization of Glauberman 's Z*-involutions is included. The text is self-contained and accessible for advanced undergraduate students.

Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.

Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.

Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.

Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.

This book provides a comprehensive algebraic treatment of hypergroups, as defined by F. Marty in 1934. It starts with structural results, which are developed along the lines of the structure theory of groups. The focus then turns to a number of concrete classes of hypergroups with small parameters, and continues with a closer look at the role of involutions (modeled after the definition of group-theoretic involutions) within the theory of hypergroups. Hypergroups generated by involutions lead to the exchange condition (a genuine generalization of the group-theoretic exchange condition), and this condition defines the so-called Coxeter hypergroups. Coxeter hypergroups can be treated in a similar way to Coxeter groups. On the other hand, their regular actions are mathematically equivalent to buildings (in the sense of Jacques Tits). A similar equivalence is discussed for twin buildings. The primary audience for the monograph will be researchers working in Algebra and/or Algebraic Combinatorics, in particular on association schemes.

This book is a concept-oriented treatment of the structure theory of association schemes. The generalization of Sylow 's group theoretic theorems to scheme theory arises as a consequence of arithmetical considerations about quotient schemes. The theory of Coxeter schemes (equivalent to the theory of buildings) emerges naturally and yields a purely algebraic proof of Tits main theorem on buildings of spherical type.

The primary object of the lecture notes is to develop a treatment of association schemes analogous to that which has been so successful in the theory of finite groups. The main chapters are decomposition theory, representation theory, and the theory of generators. Tits buildings come into play when the theory of generators is developed. Here, the buildings play the role which, in group theory, is played by the Coxeter groups. - The text is intended for students as well as for researchers in algebra, in particular in algebraic combinatorics.

IV Die Preisgestaltung auf dem Chemikalien- und Apparatenmarkte macht heut, e auch dem analytischen Chemiker die sparsamste Wirtschaft zur Pflicht; doch muss es m. E. jedem einzelnen uberlassen bleiben, zu entscheiden, wo und wie er am zweckmassigsten spart. Schon aus diesem Grunde mussten die ublichen Standardmethoden mit den teuren, z. T. unentbehrlichen Hilfsmitteln beibehalten bleiben. Neben solchen sind aber auch Verfahren angegeben, die diese Hilfsmittel nach Moglich keit umgehen. Seit dem Erscheinen der vorigen Auflage habe ich im gleichen Verlage die "Technologie der Textilveredelung" herausgegeben. Dieses Buch durfte dem Benutzer des vorliegenden vielfach wesentliche Hilfe in solchen Fallen leisten, wo technologische Zusammenhange zu berucksichtigen sind. . Den Firmen, die mich mit Angaben uber ihre Erzeugnisse und deren Untersuchungsmethodik unterstutzt haben, spreche ich meinen besten Dank aus. Ich knupfe die Bitte daran, mich auch fernerhin durch derartige Mitteilungen auf dem laufenden zu halten, damit ich das Material rechtzeitig in eine etwaige neue Auflage hineinarbeiten kann. Berlin-Lichterfelde-W., im Dezember 1922. PanI Heermann. Inhaltsverzeichnis. Allgemeiner Teil. Seite Indikatoren, titrierte Losungen, Urtitersubstanzen . . . . . . . . . I Haufig gebrauchte Losungen, Spezial.Reagenzien, Spezial.Reaktionen. 5 Gespinstfasern. Qualitative, chemische und farberische Unterscheidung und Trennung von Gespinstfasern . . . . . . . . . . . . . . . 11 Quantitative Fasertrennungen und Bestimmungen 25 Technische Fasergehalts-Bestimmungen . . . . . 31 Wasser. Allgemeine Anforderungen an das Wasser. . . . . . . . . . . . . . 34 ."