On the Structure Of
نویسنده
چکیده
We show that P (n)∗(P (n)) for p = 2 with its geometrically induced structure maps is not an Hopf algebroid because neither the augmentation nor the coproduct ∆ are multiplicative. As a consequence the algebra structure of P (n)∗(P (n)) is slightly different from what was supposed to be the case. We give formulas for (xy) and ∆(xy) and show that the inversion of the formal group of P (n) is induced by an antimultiplicative involution Ξ : P (n)→ P (n). Some consequences for multiplicative and antimultiplicative automorphisms of K(n) for p = 2 are also discussed.
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