An Introduction to the Theory of Groups of Finite Order
by Harold Hilton
Publisher: Oxford Clarendon Press 1908
Number of pages: 260
This book aims at introducing the reader to more advanced treatises and original papers on Groups of finite order. The subject requires for its study only an elementary knowledge of Algebra (especially Theory of Numbers), but the average student may nevertheless find the many excellent existing treatises rather stiff reading. I have tried to lighten for him the initial difficulties, and to show that even the most recent developments of pure Mathematics are not necessarily beyond the reach of the ordinary mathematical reader.
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by David Meredith - San Francisco State University
This course brings together two areas of mathematics that each concern symmetry -- symmetry in algebra, in the case of Galois theory; and symmetry in geometry, in the case of fundamental groups. Prerequisites are courses in algebra and analysis.
by Richard Pink - ETH Zurich
The aim of the lecture course is the classification of finite commutative group schemes over a perfect field of characteristic p, using the classical approach by contravariant Dieudonne theory. The theory is developed from scratch.
by William Burnside - Cambridge University Press
After introducing permutation notation and defining group, the author discusses the simpler properties of group that are independent of their modes of representation; composition-series of groups; isomorphism of a group with itself; etc.
by J. S. Milne
This work is a modern exposition of the theory of algebraic group schemes, Lie groups, and their arithmetic subgroups. Algebraic groups are groups defined by polynomials. Those in this book can all be realized as groups of matrices.