2,261 research outputs found
Coprime invariable generation and minimal-exponent groups
No full textColva Roney-Dougal acknowledges the support of EPSRC grant EP/I03582X/1.A finite group G is coprimely invariably generated if there exists a set of generators {g1,. .,gu} of G with the property that the orders |g1|,. .,|gu| are pairwise coprime and that for all x1,. .,xu∈G the set {g1x1,. .,guxu} generates G. We show that if G is coprimely invariably generated, then G can be generated with three elements, or two if G is soluble, and that G has zero presentation rank. As a corollary, we show that if G is any finite group such that no proper subgroup has the same exponent as G, then G has zero presentation rank. Furthermore, we show that every finite simple group is coprimely invariably generated by two elements, except for O8+(2) which requires three elements. Along the way, we show that for each finite simple group S, and for each partition π1,. .,πu of the primes dividing |S|, the product of the number kπi(S) of conjugacy classes of πi-elements satisfies. ∏i=1u kπi(S)≤|S|/2|OutS|.Peer reviewe
The maximal subgroups of the classical groups in dimension 13, 14 and 15
No full textOne might easily argue that the Classification of Finite Simple Groups is
one of the most important theorems of group theory. Given that any finite
group can be deconstructed into its simple composition factors, it is of great
importance to have a detailed knowledge of the structure of finite simple
groups.
One of the classes of finite groups that appear in the classification theorem
are the simple classical groups, which are matrix groups preserving
some form. This thesis will shed some new light on almost simple classical
groups in dimension 13, 14 and 15. In particular we will determine their
maximal subgroups.
We will build on the results by Bray, Holt, and Roney-Dougal who
calculated the maximal subgroups of all almost simple finite classical groups
in dimension less than 12. Furthermore, Aschbacher proved that the maximal
subgroups of almost simple classical groups lie in nine classes. The maximal
subgroups in the first eight classes, i.e. the subgroups of geometric type,
were determined by Kleidman and Liebeck for
dimension greater than 13.
Therefore this thesis concentrates on the ninth class of Aschbacher’s
Theorem. This class roughly consists of subgroups which are almost simple
modulo scalars and do not preserve a geometric structure. As our final
result we will give tables containing all maximal subgroups of almost simple
classical groups in dimension 13, 14 and 15
Toxicological profile for dinitrotoluenes
No full textA Toxicological Profile for Dinitrotoluenes, Draft for Public Comment was released in April 2013. This edition supersedes any previously released draft or final profile.Chemical manager(s)/author(s): Carolyn Harper, Nickolette Roney, Mike Fay, Selene Chou, Division of Toxicology and Human Health Sciences, Atlanta, GA;Heather Carlson-Lynch, Julie M. Klotzbach, Kelly Salinas, H. Danielle Johnson, Mario Citra, SRC, Inc., North Syracuse, NY
Claiming land, claiming water: Borders and the people who crossed them in the Early Modern Atlantic
No full textClaiming Land, Claiming Water shares what historians and geographers wish readers knew about maps and borders before, during, and after the founding of the United States. The essays collected in this volume model how people can learn to interpret maps as arguments, rather than as historical facts, and to read maps for evidence of people and places that were elided, renamed, or destroyed.
Contributors travel through the sixteenth, seventeenth, eighteenth, and nineteenth centuries in the place known by many names: the Atlantic World; the North American continent; borderlands; and homelands. Onto this place where people exercised power over space by forging relationships, colonizers came and imagined borders onto maps. Featuring reproductions of twenty historical maps, the book takes readers through this era of immense disruption to teach them strategies for reading and interpreting these maps critically. Essays attend carefully to water alongside land and land alongside water in search of new interpretive avenues that reframe what we know about space, control, and sovereignty.
By using historical examples of people--farmers, fishers, hunters, religious leaders, colonial projectors, traders, sailors, soldiers, diplomats, and cartographers, it becomes possible to resist the temptation to impose modern geographical constructs backwards onto the histories we read, teach, and write. Claiming Land, Claiming Water investigates why some of these people imagined and made claims to bounded space, and how and why other people confounded and challenged those claims.
Contributors: Sarah Chute, Edward G. Gray, Kim M. Gruenwald, Rachel B. Herrmann, Christian J. Koot, Chad McCutchen, Jennifer Monroe McCutchen, John Morton, Paul Musselwhite, Charles Prior, Karen Rann, Jessica Choppin Roney, Samuel Truett, Harvey Amani Whitfield, Alex Zukas
Una Investigación Arqueológica de los Sitios Cerros con Trincheras del Arcaico Tardío en Chihuahua, México
No full textEste informe resume las investigaciones de campo de 2000 en el Cerro Juanaqueña y otros sitios relacionados, y también se proporciona los más recientes resultados analíticos. Estos trabajos fueron autorizados en el 2000 por medio de los oficios CA401-36/0669 y CA 401-36/0710 del Consejo de Arqueología, Instituto Nacional de Antropología e Historia (INAH), México, D.F., y con la concurrencia de los Municipios de Janos, Casas Grandes, Ascención y Galeana. El proyecto fue respaldado por la concesión SBR-9809839 del National Science Foundation (NSF). Nuestros informes anteriores (Hard y Roney 1998, 1999; Roney y Hard 2000) describen las obras y resultados de las campañas de 1997, 1998 y 1999, respectivamente. Los objetivos de la temporada 2000 fueron los siguientes: Seguir excavando en el Cerro Juanaqueña para recuperar muestras carbonizadas, de hueso, y macrobotánico; continuar los estudios geomorfológicos dentro del llano inundado; elaborar un extenso archivo de fotos aéreas de los sitios cerros con trincheras; llevar a cabo un reconocimiento arqueológico de la vecindad del Cerro Juanaqueña (véase Figura1). Finalmente, y ligado a estos estudios, fue el llevar a cabo unas pruebas de excavación en tres cerros de trincheras localizados al meridional de Chihuahua, en el área de Jiménez y Parral. Estos últimos estudios se realizaron durante el mes de octubre del 2000. El informe actual describe las obras y algunos resultados relacionados a los dichos objetivos.National Science Foundatio
SuperB Physics Programme
No full textThis document summarises the highlights of the SuperB physics programme. The potential benefits
to understanding new physics and the standard model through the study of B, D, and τ decays, along
with precision electroweak and conventional and exotic spectroscopy measurements are discussed.
Finally the use of these results in the context of the bigger picture of understanding how new physics
can behave is summarised
Measurement of the mass difference m(B-0)-m(B+)
No full textUsing 230 x 10(6) B (B) over bar events recorded with the BABAR detector at the e(+)e(-) storage rings PEP-II, we reconstruct approximately 4100 B-0 -> J/psi K+pi(-) and 9930 B+ -> J/psi K+ decays with J/psi -> mu(+)mu(-) and e(+)e(-). From the measured B-momentum distributions in the e(+)e(-) rest frame, we determine the mass difference m(B-0) - m(B+) = (+0.33 +/- 0.05 +/- 0.03) MeV/c(2)
Leadership and Management Competence in Nursing Practice: Competencies, Skills, Decision-Making
No full textAudrey M. Beauvais is the editor and a contributing author, Transition to the Professional Nurse Role, Leadership Attributes, Facilitating Problem-Solving and Decision-Making in Teams, and Power and Politics in Professional Nursing Practice.
Audrey Beauvais is a contributing author with Bonnie Haupt, Setting Priorities and Managing Time.
Audrey Beauvais is a contributing author with Kimberly Spahn, Innovation and Change.
Linda Roney is a contributing author, Envisioning and Developing Your Career: Where Am I Going?
Book description:
Written specifically for the experienced nurse enrolled in an RN-to-BSN program, this text guides nurses through an interactive critical thinking process to become effective and confident nurse leaders. All nurses involved with direct patient care already rely on similar strategies to oversee patient safety, make care decisions, and integrate plan of care in collaboration with patients and families. This text expands upon that knowledge and provides a firm base to reach the next steps in academia and practice, enabling the BSN-prepared nurse to tackle serious issues in care delivery with a high level of self-awareness and skill. Leadership and Management Competence in Nursing Practice relies on a keen understanding of what experienced nurses already bring to the classroom. This text provides a core framework and useful skills and strategies to successfully lead nursing and healthcare forward. Clear, concise chapters cover leadership skills and personal attributes of leaders with minimal repetition of material covered in associate’s degree programs. Content builds on the framework of AACN Essentials of Baccalaureate Education, IOM Competencies, and QSEN KSAs. Each chapter presents case scenarios to promote critical thinking and decision-making. Self-assessment tools featured throughout the text enable nurses to evaluate their current strengths, areas for growth, and learning needs.https://digitalcommons.fairfield.edu/nursing-books/1085/thumbnail.jp
Topics in computational group theory : primitive permutation groups and matrix group normalisers
No full textPart I of this thesis presents methods for finding the primitive permutation
groups of degree d, where 2500 ≤ d < 4096, using the O'Nan-Scott Theorem
and Aschbacher's theorem. Tables of the groups G are given for each O'Nan-Scott class. For the non-affine groups, additional information is given: the
degree d of G, the shape of a stabiliser in G of the primitive action, the
shape of the normaliser N in S[subscript(d)] of G and the rank of N.
Part II presents a new algorithm NormaliserGL for computing the normaliser
in GL[subscript(n)](q) of a group G ≤ GL[subscript(n)](q). The algorithm is implemented in
the computational algebra system MAGMA and employs Aschbacher's theorem
to break the problem into several cases. The attached CD contains the
code for the algorithm as well as several test cases which demonstrate the
improvement over MAGMA's existing algorithm
Generating sets of finite groups
No full textWe investigate the extent to which the exchange relation holds in finite groups G. We define a new equivalence relation ≡m, where two elements are equivalent if each can be substituted for the other in any generating set for G. We then refine this to a new sequence ≡(r)/m of equivalence relations by saying that x≡(r)/m y if each can be substituted for the other in any r-element generating set. The relations ≡(r)/m become finer as r increases, and we define a new group invariant ψ(G) to be the value of r at which they stabilise to ≡m. Remarkably, we are able to prove that if G is soluble then ψ(G) ∈ {d(G),d(G)+1}, where d(G) is the minimum number of generators of G, and to classify the finite soluble groups G for which ψ(G)=d(G). For insoluble G, we show that d(G) ≤ ψ(G) ≤ d(G)+5. However, we know of no examples of groups G for which ψ(G) > d(G)+1. As an application, we look at the generating graph of G, whose vertices are the elements of G, the edges being the 2-element generating sets. Our relation ≡(2)m enables us to calculate Aut(Γ(G)) for all soluble groups G of nonzero spread, and give detailed structural information about Aut(Γ(G)) in the insoluble case.Peer reviewe
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