Zobrazeno 1 - 10 of 104 pro vyhledávání: '"Franklin P. Peterson"'
1
A global structure theorem for the mod 2 Dickson algebras, and unstable cyclic modules over the Steenrod and Kudo–Araki–May algebras
Autor: David Pengelley, Frank Williams, Franklin P. Peterson
Publikováno v: Mathematical Proceedings of the Cambridge Philosophical Society. 129:263-276
The Dickson algebra W n +1 of invariants in a polynomial algebra over [ ] 2 is an unstable algebra over the mod 2 Steenrod algebra [Ascr ], or equivalently, over the Kudo–Araki–May algebra [Kscr ] of ‘lower’ operations. We prove that W n +1 i
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e6136c63272f20c6fd8beb76e2adf59c
https://doi.org/10.1017/s0305004100004473
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2
Spherical classes and the Dickson algebra
Autor: Franklin P. Peterson, Nguyé # N H. V. Hu'ng
Publikováno v: Mathematical Proceedings of the Cambridge Philosophical Society. 124:253-264
We attack the conjecture that the only spherical classes in the homology of Q 0 S 0 are Hopf invariant one and Kervaire invariant one elements. We do this by computing products in the E 2 -term of the unstable Adams spectral sequence converging to π
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e7e5bf7eea5c9d55718bceb62f0b3d6d
https://doi.org/10.1017/s0305004198002667
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3
𝒜-generators for the Dickson algebra
Autor: Franklin P. Peterson, Nguyen Viet Hung
Publikováno v: Transactions of the American Mathematical Society. 347:4687-4728
Let D k {D_k} denote the Dickson algebra in k k variables over the field of two elements. We study the problem of determining a minimal set of generators for D k {D_k} as a module over the Steenrod algebra A \mathcal {A} . This is easy for k = 1 k =
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::0e41955681711194719436f35999786f
https://doi.org/10.1090/s0002-9947-1995-1316852-x
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10
On immersions of n-Manifolds
Autor: Franklin P. Peterson, Edgar H. Brown
Publikováno v: Advances in Mathematics. 24(1):74-77
A classical conjecture in differential topology is that an n -manifold immerses in R 2 n - α ( n ) , where α ( n ) is the number of ones in the dyadic expansion of n . We prove a corollary of this conjecture, namely, that at the Thom space level, t
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fe14b0030e77a319c8c595c9f0025443
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