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There are times when only a polar bear will do . . . "All I want is a normal family but no, I've ended up with the brother from Weirdsville. Liam is so embarrassing, but Mum and Dad can't see that and give him all the attention. Leaving me with zero! Zilch! A big fat NOTHING! And I'm not really sure how an enormous, funny, clumsy polar bear is going to help with all this, but he was standing on the doorstep, so I had to invite him to stay, didn't I? Well, what would you have done?" Meet Arthur and his brand new friend, Mister P - the world's most helpful polar bear! Packed with gorgeous illustrations throughout, this story has heart and humour in equal measure and is sure to be a hit with developing readers and as a great book to be read aloud.
A pro-p group is the inverse limit of some system of finite p-groups, that is, of groups of prime-power order where the prime - conventionally denoted p - is fixed. Thus from one point of view, to study a pro-p group is the same as studying an infinite family of finite groups; but a pro-p group is also a compact topological group, and the compactness works its usual magic to bring 'infinite' problems down to manageable proportions. The p-adic integers appeared about a century ago, but the systematic study of pro-p groups in general is a fairly recent development. Although much has been dis covered, many avenues remain to be explored; the purpose of this book is to present a coherent account of the considerable achievements of the last several years, and to point the way forward. Thus our aim is both to stimulate research and to provide the comprehensive background on which that research must be based. The chapters cover a wide range. In order to ensure the most authoritative account, we have arranged for each chapter to be written by a leading contributor (or contributors) to the topic in question. Pro-p groups appear in several different, though sometimes overlapping, contexts.
This volume contains the proceedings of the "Conference on the (p,n) Reaction and the Nucleon-Nucleon Force" held in Telluride, Colorado, March 29-31, 1979. The idea to hold this conference grew out of a program at the Indiana University Cyclotron Facility to study the (p,n) reaction in the 50-200 MeV energy range. The first new Indiana data, in contrast to low energy data, showed features suggestive of a dominant one pion exchange interaction. It seemed desir able to review what was known about the fre·e and the effective nucleon-nucleon force and the connection between the low and high energy (p,n) data. Thus the conference was born. The following people served as the organizing committee...
Numbers ... , natural, rational, real, complex, p-adic .... What do you know about p-adic numbers? Probably, you have never used any p-adic (nonrational) number before now. I was in the same situation few years ago. p-adic numbers were considered as an exotic part of pure mathematics without any application. I have also used only real and complex numbers in my investigations in functional analysis and its applications to the quantum field theory and I was sure that these number fields can be a basis of every physical model generated by nature. But recently new models of the quantum physics were proposed on the basis of p-adic numbers field Qp. What are p-adic numbers, p-adic analysis, p-adic...
This research paper continues [15]. We begin with giving a profound overview of the structure of arbitrary simple groups and in particular of the simple locally finite groups and reduce their Sylow theory for the prime p to a quite famous conjecture by Prof. Otto H. Kegel (see [37], Theorem 2.4: "Let the p-subgroup P be a p-uniqueness subgroup in the finite simple group S which belongs to one of the seven rank-unbounded families. Then the rank of S is bounded in terms of P.") about the rank-unbounded ones of the 19 known families of finite simple groups. We introduce a new scheme to describe the 19 families, the family T of types, define the rank of each type, and emphasise the rôle of Kege...
P’ansori is the quintessential traditional Korean musical drama, in which epic tales are sung and narrated by a solo singer accompanied by a drummer. Drawing on her extensive research in Korea and its diasporas, Haekyung Um describes and analyses the creative processes of p’ansori, weaving into her discussion musical, social and cultural aspects that include the evolution of p’ansori performance, origins and historical development, textual and musical materials, stylistic features of different p’ansori schools, transmission of knowledge, aesthetics, and changing interpretations of tradition. Also explored is the complexity of historical and contemporary influences that give shape to ...
This volume contains the proceedings of the 2019 Lluís A. Santaló Summer School on $p$-Adic Analysis, Arithmetic and Singularities, which was held from June 24–28, 2019, at the Universidad Internacional Menéndez Pelayo, Santander, Spain. The main purpose of the book is to present and analyze different incarnations of the local zeta functions and their multiple connections in mathematics and theoretical physics. Local zeta functions are ubiquitous objects in mathematics and theoretical physics. At the mathematical level, local zeta functions contain geometry and arithmetic information about the set of zeros defined by a finite number of polynomials. In terms of applications in theoretica...
The Institute for Mathematical Sciences at the National University of Singapore hosted a research program on “Representation Theory of Lie Groups” from July 2002 to January 2003. As part of the program, tutorials for graduate students and junior researchers were given by leading experts in the field.This invaluable volume collects the expanded lecture notes of those tutorials. The topics covered include uncertainty principles for locally compact abelian groups, fundamentals of representations of p-adic groups, the Harish-Chandra-Howe local character expansion, classification of the square-integrable representations modulo cuspidal data, Dirac cohomology and Vogan's conjecture, multiplici...
The Germans called it Der Gabelschwanz Teuful or “The Forked-tailed Devil.” The Japanese referred to it as two planes with one pilot. But whatever it was likened to, the Lockheed P-38 Lightning represented a giant step forward in combat aircraft design and technology. With its twin-engine, twin-boom design, and a fuselage pod between the booms, the P-38 Lightning was a radically different design from any previous fighter aircraft. Its high speed and long range, coupled with its firepower being concentrated in the fuselage pod, made it one of the most formidable fighters of World War II. Ideally suited for operations in the Pacific, it scored more aerial victories in that theater than any...