Classical Groups, Derangements and Primes

Timothy C. Burness · Michael Giudici

2016 urt. · Australian Mathematical Society Lecture Series 25. liburua · Cambridge University Press

Liburu elektronikoa

365

orri

Balorazioak eta iritziak ez daude egiaztatuta Lortu informazio gehiago

Liburu elektroniko honi buruz

A classical theorem of Jordan states that every finite transitive permutation group contains a derangement. This existence result has interesting and unexpected applications in many areas of mathematics, including graph theory, number theory and topology. Various generalisations have been studied in more recent years, with a particular focus on the existence of derangements with special properties. Written for academic researchers and postgraduate students working in related areas of algebra, this introduction to the finite classical groups features a comprehensive account of the conjugacy and geometry of elements of prime order. The development is tailored towards the study of derangements in finite primitive classical groups; the basic problem is to determine when such a group G contains a derangement of prime order r, for each prime divisor r of the degree of G. This involves a detailed analysis of the conjugacy classes and subgroup structure of the finite classical groups.

Egileari buruz

Timothy C. Burness is a Senior Lecturer in Pure Mathematics at the University of Bristol. His main area of research is in group theory; he is interested in simple groups, both finite and algebraic, with a particular focus on subgroup structure and representation theory. He has published numerous research articles in group theory, including two monographs in the Memoirs of the American Mathematical Society. He was formerly a Junior Research Fellow at St John's College, Oxford and a Lady Davis Fellow at the Hebrew University of Jerusalem.

Michael Giudici is an Associate Professor at the University of Western Australia and is currently Deputy Director of the Centre for the Mathematics of Symmetry and Computation. His main research lies in permutation groups and the objects upon which they act. He has published numerous journal articles in group theory, graph theory and finite geometry. He previously held an Australian Research Fellowship and an Australian Postdoctoral Fellowship. In 2005 he received the Kirkman Medal from the Institute of Combinatorics and its Applications.

Baloratu liburu elektroniko hau

Eman iezaguzu iritzia.

Irakurtzeko informazioa

Telefono adimendunak eta tabletak

Instalatu Android eta iPad/iPhone gailuetarako Google Play Liburuak aplikazioa. Zure kontuarekin automatikoki sinkronizatzen da, eta konexioarekin nahiz gabe irakurri ahal izango dituzu liburuak, edonon zaudela ere.

Ordenagailu eramangarriak eta mahaigainekoak

Google Play-n erositako audio-liburuak entzuteko aukera ematen du ordenagailuko web-arakatzailearen bidez.

Irakurgailu elektronikoak eta bestelako gailuak

Tinta elektronikoa duten gailuetan (adibidez, Kobo-ko irakurgailu elektronikoak) liburuak irakurtzeko, fitxategi bat deskargatu beharko duzu, eta hura gailura transferitu. Jarraitu laguntza-zentroko argibide xehatuei fitxategiak irakurgailu elektroniko bateragarrietara transferitzeko.

Salatu legez kanpoko edukia