Theory of Groups of Finite Order
Theory of Groups of Finite Order
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DOI：
10.1112/plms/s2-7.1.1
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通讯作者：
William Burnside
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作者：
William Burnside
第二版序言第一版序言1.关于排列2.一个组的定义3。关于与其表示模式无关的群的简单性质4.一个群的其他性质与它的表示模式无关5.关于群的合成级数6.关于一个群自身内部的同构7。8.第八章.关于阶数为素数幂的群9.关于西洛定理10关于置换群：传递群和不传递群11.关于置换群：传递性和非传递性12.关于有限阶群作为置换群的表示13. 14.我的超次元帝国关于有限阶群作为线性置换群的表示15. 16.第16章.一些应用的理论群的线性取代和群的特点17。关于线性置换群的不变量18.关于一个群的图形表示19. 20.第20章我的女人关于同余群注记术语索引引用作者索引总索引。
Preface to the second edition Preface to the first edition 1. On permutations 2. The definition of a group 3. On the simpler properties of a group which are independent of its mode of representation 4. Further properties of a group which are independent of its mode of representation 5. On the composition-series of a group 6. On the isomorphism of a group within itself 7. On Abelian groups 8. On groups whose orders are the powers of primes 9. On Sylow's theorem 10. On permutation-groups: transitive and intransitive groups 11. On permutation-groups: transitivity and primitivity 12. On the representation of a group of finite order as a permutation-group 13. On groups of linear substitutions 14. On the representation of a group of finite order as a group of linear substitutions 15. On group-characteristics 16. Some applications of the theory of groups of linear substitutions and of group-characteristics 17. On the invariants of groups of linear substitutions 18. On the graphical representation of a group 19. On the graphical representation of groups 20. On congruence groups Notes Index of technical terms Index of authors quoted General index.