The Theory of GroupsCourier Dover Publications, 15 Feb 2018 - 432 halaman "Mastering the contents of Hall's book will lead a student to the frontiers of group theory. He will be well equipped to read any recent literature and start original research himself in this field ... This remarkable book undoubtedly will become a standard text on group theory." — Eugene Guth, American Scientist "This is a book which I wish I could put in the hands of every graduate student who has shown an interest in the elements of group theory. The first 10 chapters would give him an excellent foundation in group theory, and there would still remain 10 chapters for his delight." — Richard Hubert Bruck, American Mathematical Monthly This encyclopedic treatment of the current knowledge of group theory was widely praised upon its 1959 publication for its readability and accessibility. Today this volume remains useful as an unsurpassed resource for learning and reviewing the basics of a fundamental and ever-expanding area of modern mathematics. Suitable for advanced undergraduate mathematics majors and graduate students in math, the treatment is largely self-contained and offers numerous helpful exercises. |
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Edisi yang lain - Lihat semua
Istilah dan frasa umum
a e G Abelian group absolutely irreducible algebraic automorphism basic commutators basis characteristic subgroup collineation commutators of weight composition series conjugate corollary correspondence cyclic group define definition direct product direct sum division ring element of order elements of G exponent factor group finite group finite number fixed free group G contains given group G group of order Hence homomorphism idempotent identity induction integers intersection inverse isomorphic lattice left cosets LEMMA length Let G letters linear mapping matrix maximal subgroup modulo multiplication nilpotent normal subgroup p-group p-subgroup permutation group points prime order Proof proper subgroup prove quaternion group relations representation of G satisfies solvable solvable group subgroup H subgroup of G subgroup of order supersolvable Suppose Sylow subgroup Sylow theorem THEOREM translation plane unique whence zero