科研之友
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摘要
We prove analogues for odd primes of results of Snaith and Barker-Snaith. Let l denote the p-complete connective Adams summand and consider the group of left l-module automorphisms of l <^> l in the stable homotopy category which induce the identity on mod p homology. We prove a group isomorphism between this group and a certain group of infinite invertible upper triangular matrices with entries in the p-adic integers. We determine information about the matrix corresponding to the automorphism 1 <^> Psi(q) of l <^> l, where Psi(q) is the Adams operation and q is an integer which generates the p-adic units.
- 出版日期2015-5
