干丹岩.对合的分解[J].数学研究及应用,1991,11(1):52~56
对合的分解
Decomposition of Involutions
投稿时间:1990-09-27  
DOI:10.3770/j.issn:1000-341X.1991.01.012
中文关键词:  
英文关键词:
基金项目:国家自然科学基金资助项目.
作者单位
干丹岩 浙江大学数学系 
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中文摘要:
      
英文摘要:
      Using the notion of biconnected sum we define the biconnected sum (T1, M1)§(T2,M2) of two involutions (T1M1) and (T2,M2) which is an involution on the biconnected sum M1,§M2. A connected involution is said to be reducible if it can be expressed as a biconnected sum of two connected involutions.Theorem Each connected involution (T, M) can be decomposed into a bi-connected sum of connected irreducible involutions (T, M)=(T1, M1)§…§(Tq,Mq),and (?) where the coefficients of Hn_1(M) are in Z/2 Z if M is unoriented, in Z if is oriented .
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