This book is the ninth volume in a series whose goal is to furnish a careful and largely self-contained proof of the classification theorem for the finite simple groups. Having completed the classification of the simple groups of odd type as well as the classification of the simple groups of generic even type (modulo uniqueness theorems to appear later), the current volume begins the classification of the finite simple groups of special even type. The principal result of this volume is a classification of the groups of bicharacteristic type, i.e., of both even type and of $p$-type for a suitable odd prime $p$. It is here that the largest sporadic groups emerge, namely the Monster, the Baby Monster, the largest Conway group, and the three Fischer groups, along with six finite groups of Lie type over small fields, several of which play a major role as subgroups or sections of these sporadic groups.

"Provides previously unavailable material in sound quality crucial for a more effective design process. Presents all aspects of product sound quality, such as ""rules of thumb"" and design formulas and charts. Covers sound radiation and targeting, resolving, and testing design features."

Providing previously unavailable material in sound quality crucial for a more effective design process, this compact reference presents all aspects of product sound quality, such as "rules of thumb" and design formulas and charts. Prevent customer dissatisfaction and design more successful products. Redefining and expanding sound concerns beyond the limits of "noise control," Designing for Product Sound Quality progresses from introductions and definitions on product sound quality and sound radiation to targeting, resolving, and testing design features. Features illustrations on every page Emphasizing that anticipating product operations that produce sound can be an asset in design planning, this monograph defines the terminology and characteristics most relevant to design demonstrates how to conduct and interpret jury tests/listening panels discusses structural responses to noise energy and resonant modes applies concepts to the mechanisms of cams, gears, chains, and sprockets highlights the importance of the single DOF system supplies numerous examples from actual design cases prescribes production line diagnostics for detecting faults and much more Supplemented with over 220 drawings, photographs, equations, and tables, Designing for Product Sound Quality is an essential tool for mechanical, design, manufacturing, industrial, and acoustical engineers; acoustical physicists; and upper-level undergraduate and graduate students in these disciplines.

Settling In is a collection of meditations that came from the journal of Richard Morgan when, at age 74, he moved to a retirement community in Pennsylvania. Reflecting on his experience, the author identified three major stages in his spiritual journey:
- Initial excitement and euphoria;
- Second thoughts and regrets;
- Discerning his life in the community.
These meditations will help those who are considering entering a continuing care/retirement community and for the adult children and caregivers of persons facing such a decision. The author's generous sharing of his own experience will help prepare those considering a life transition and also help their loved ones to understand the struggles older adults go through as they seek to make a place their home.
- Persons in later life who are considering options for later years
- Staff and administration of retirement communities--especially chaplains
- Adult children of older adults

The volume you hold in your hand represents a collection oftopicsput in poetic and biblicalform for the enjoyment ofall who chooseto read the contents. It is intended to cause some deep andperhapssome provocative thoughts about the way we live and go about ourdaily routines. There may be some comparison poems thatyoufindamusing and real. It is my hope thatyour reading and interpretationcauses you much comfort andjoy.

This book completes a trilogy (Numbers 5, 7, and 8) of the series The Classification of the Finite Simple Groups treating the generic case of the classification of the finite simple groups. In conjunction with Numbers 4 and 6, it allows us to reach a major milestone in our series--the completion of the proof of the following theorem: Theorem O: Let G be a finite simple group of odd type, all of whose proper simple sections are known simple groups. Then either G is an alternating group or G is a finite group of Lie type defined over a field of odd order or G is one of six sporadic simple groups. Put another way, Theorem O asserts that any minimal counterexample to the classification of the finite simple groups must be of even type. The work of Aschbacher and Smith shows that a minimal counterexample is not of quasithin even type, while this volume shows that a minimal counterexample cannot be of generic even type, modulo the treatment of certain intermediate configurations of even type which will be ruled out in the next volume of our series.

The book provides an outline and modern overview of the classification of the finite simple groups. It primarily covers the “even case”, where the main groups arising are Lie-type (matrix) groups over a field of characteristic 2. The book thus completes a project begun by Daniel Gorenstein’s 1983 book, which outlined the classification of groups of “noncharacteristic 2 type”. However, this book provides much more. Chapter 0 is a modern overview of the logical structure of the entire classification. Chapter 1 is a concise but complete outline of the “odd case” with updated references, while Chapter 2 sets the stage for the remainder of the book with a similar outline of the “even case”. The remaining six chapters describe in detail the fundamental results whose union completes the proof of the classification theorem. Several important subsidiary results are also discussed. In addition, there is a comprehensive listing of the large number of papers referenced from the literature. Appendices provide a brief but valuable modern introduction to many key ideas and techniques of the proof. Some improved arguments are developed, along with indications of new approaches to the entire classification—such as the second and third generation projects—although there is no attempt to cover them comprehensively. The work should appeal to a broad range of mathematicians—from those who just want an overview of the main ideas of the classification, to those who want a reader’s guide to help navigate some of the major papers, and to those who may wish to improve the existing proofs.

The classification of finite simple groups is a landmark result of modern mathematics. The original proof is spread over scores of articles by dozens of researchers. In this multivolume book, the authors are assembling the proof with explanations and references. It is a monumental task. The book, along with background from sections of the previous volumes, presents critical aspects of the classification. In four prior volumes (Surveys of Mathematical Monographs, Volumes 40.1, 40.2, 40.3, and 40.4), the authors began the proof of the classification theorem by establishing certain uniqueness and preuniqueness results. In this volume, they now begin the proof of a major theorem from the classification grid, namely Theorem ${\mathcal C 7$. The book is suitable for graduate students and researchers interested in group theory.

During the eighteenth and nineteenth centuries, North American Indian leaders commonly signed treaties with the European powers and the American and Canadian governments with an "X," signifying their presence and assent to the terms. These x-marks indicated coercion (because the treaties were made under unfair conditions), resistance (because they were often met with protest), and acquiescence (to both a European modernity and the end of a particular moment of Indian history and identity). In "X-Marks," Scott Richard Lyons explores the complexity of contemporary Indian identity and current debates among Indians about traditionalism, nationalism, and tribalism. Employing the x-mark as a metaphor for what he calls the "Indian assent to the new," Lyons offers a valuable alternative to both imperialist concepts of assimilation and nativist notions of resistance, calling into question the binary oppositions produced during the age of imperialism and maintaining that indigeneity is something that people do, not what they are. Drawing on his personal experiences and family history on the Leech Lake Ojibwe Reservation in northern Minnesota, discourses embedded in "Ojibwemowin" (the Ojibwe language), and disagreements about Indian identity within Native American studies, Lyons contends that Indians should be able to choose nontraditional ways of living, thinking, and being without fear of being condemned as inauthentic. Arguing for a greater recognition of the diversity of Native America, "X-Marks" analyzes ongoing controversies about Indian identity, addresses the issue of culture and its use and misuse by essentialists, and considers the implications of the idea of an Indian nation. At once intellectually rigorous and deeply personal, "X-Marks" holds that indigenous peoples can operate in modern times while simultaneously honoring and defending their communities, practices, and values.

With the classification of finite groups an era of research in that subject ended. In this symposium volume twenty-nine key figures in the classification programme analyse the likely directions research will take in the future.