Arbitrary Functions in Group Theory - NZJM

New Zealand Journal of Mathematics

Ian Hawthorn¹ 

[1] Department of Mathematics,University of Waikato,Hamilton,New Zealand.$$

关键词: Arbitrary functions;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: University of Auckland * Department of Mathematics

【 摘 要 】

Two measures of how near an arbitrary function between groups is to being a homomorphism are considered. These have properties similar to conjugates and commutators. The authors show that there is a rich theory based on these structures, and that this theory can be used to unify disparate approaches such as group cohomology and the transfer and to prove theorems. The proof of the Schur-Zassenhaus theorem is recast in this context. We also present yet another proof of Cauchy's theorem and a very quick approach to Sylow's theorem.

【 授权许可】

Unknown