Primitivity in torsion free cohomology Hopf algebras

Hubbuck, J. R.

doi:10.1007/bf02566825

Cited by 16 publications

(19 citation statements)

References 23 publications

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“…Corollary 2.12 of [8] asserts that the homomorphism Φ n (k p−1 ) is divisible by p n , as a linear operator, for each integer k prime to p. Now Lemma 3.1 extends immediately to the polynomial f (T ) = Φ n (T ) with values in the endomorphism ring of H * (Z;…”

Section: Proof We Recall That When G(u ) ∈ Q[u ] Is a Rational Polynmentioning

confidence: 95%

K-theory and the anti-automorphism of the Steenrod algebra

Crabb

Crossley

Hubbuck

1996

Proc. Amer. Math. Soc.

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Section: Proof We Recall That When G(u ) ∈ Q[u ] Is a Rational Polynmentioning

confidence: 95%

K-theory and the anti-automorphism of the Steenrod algebra

Crabb

Crossley

Hubbuck

1996

Proc. Amer. Math. Soc.

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“…So, we shall show that (1) implies (3) to prove Theorem B in cases G n =U(n) and Sp(n). To show this, we calculate that p-divisibility of Hubbuck operations (see [9,10,11]) on the projective space of M(n, A). Although the divisibility is not determined naturally and depends on the choice of a splitting of K-theory, the calculations on BU(n) can be applied on the suspension space of M(n, A).…”

Section: Remark 3 (2) Implies Clearly (1) (3) Implies That M(nx)mentioning

confidence: 99%

“…We wish to know the manner of Hubbuck operations on cf in K-theory. We will describe Adams operations by using e and L Firstly we will define a fake Adams operation *F* on the fake K-theory E (see Hubbuck [9,10,11]) and reserve the symbol i/^ for the genuine Adams operation. …”

Section: C N ]] and E(bt N )^R[[y 1 Y N ]'] Where C! Is The Imentioning

confidence: 99%

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Homotopy associativity of sphere extensions

Iwase

1989

Proceedings of the Edinburgh Mathematical Society

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Throughout this paper, we work in the category of (p-localized) spaces having the homotopy type of connected CW-complexes of finite type with base point. We consider a principal bundlewhere G n = SU(n), U(n) or Sp(ri) and d=l,l or 2 respectively. In this case, the bundle is obtained as an induced bundle by a mapping / of base space S 2dll~l from the classical group extension as follows: To avoid a confusion with an integer modp, we adopt the notation "a property P at 459

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“…The spaces of rank 2 simply connected finite //-spaces have been classified and our hypotheses imply that any such G is mod 3 equivalent to G2.) We shall use the language of [8]. -+ H2n+2q(BG, Q3) defined by setting Qfx = 2qchn+qJ{x) and 2 S}QJ~l = 0 (0 < / < q) where Sy° is the identity.…”

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confidence: 99%