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158
The Whitehead categorical group of derivations
 Georgian Math. J
, 2002
"... Abstract. Given a categorical crossed module H → G, where G is a group, we show that the category of derivations, Der(G, H), from G into H has a natural monoidal structure. We introduce the Whitehead categorical group of derivations as the Picard category of Der(G, H) and then we characterize the in ..."
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Abstract. Given a categorical crossed module H → G, where G is a group, we show that the category of derivations, Der(G, H), from G into H has a natural monoidal structure. We introduce the Whitehead categorical group of derivations as the Picard category of Der(G, H) and then we characterize
Whitehead Graphs on Handlebodies
"... A subset A of a free group F is called "separable" when there is a nontrivial free factorization F = F1 F2 such that each element of A is conjugate to an element of F1 or of F2. A single element is separable if and only if it belongs to a proper free factor. An algorithm is given to detec ..."
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to detect if a given nite set A is separable or not; this depends on cut vertices in the Whitehead graph of A relevant toagiven free basis X of F. Disjoint simple closed curves A on the boundary of a handlebody H are said to be "geometrically separable" when there is a disk D properly and non
A CONVERSE TO THE THIRD WHITEHEAD LEMMA
, 808
"... Abstract. We show that finitedimensional Lie algebras over a field of characteristic zero such that their highdegree cohomology in any finitedimensional nontrivial irreducible module vanishes, are, essentially, direct sums of semisimple and nilpotent algebras. The classical First and Second Whit ..."
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Whitehead Lemmata state that the first, respectively second, cohomology group of a finitedimensional semisimple Lie algebra over a field of characteristic zero with coefficients in any finitedimensional module vanishes. This pattern breaks down, however, at the third cohomology: it is well
Sarah Fielding’s Lives of Cleopatra
"... Women’s Biographical h istories a PRi l l ondon The proliferation of anecdotal writing over the course of the eighteenth century offers an interesting pathway to questions of genre adaptation in the period. Lionel Gossman’s argument—that from their European advent, these “highly concentrated miniatu ..."
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Women’s Biographical h istories a PRi l l ondon The proliferation of anecdotal writing over the course of the eighteenth century offers an interesting pathway to questions of genre adaptation in the period. Lionel Gossman’s argument—that from their European advent, these “highly concentrated
From the Diary of Miss Sarah Haight
, 1858
"... When has such a thing ever happened before? Has such a thing ever happened since? The bridegroom inviting the entire wedding party to join him and his bride on their honeymoon! But that is what William C. Ralston did when he married Lizzie Fry in San Francisco on May 20, 1858. Ralston was thirtytwo ..."
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in banking. Donohoe was one of the wedding party and, incidentally, was to remain a lifelong friend of Mrs. Ralston. Another member of the wedding party was Edgar Mills, of Sacramento, brother of the betterknown Darius Ogden Mills. Then there were Thomas H. Morrison, a teller in Ralston’s banking firm, a
Whitehead’s Lemmas and Galois cohomology of abelian varieties
"... Abstract. Whitehead’s lemmas for Lie algebra cohomology translate into vanishing theorems for H 1 and H 2 in Galois cohomology. Via inflationrestriction, the H 1 vanishing theorem leads to a simple formula for H 1 (K, Tℓ), where Tℓ is the ℓadic Tate module of an abelian variety over a number field ..."
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Abstract. Whitehead’s lemmas for Lie algebra cohomology translate into vanishing theorems for H 1 and H 2 in Galois cohomology. Via inflationrestriction, the H 1 vanishing theorem leads to a simple formula for H 1 (K, Tℓ), where Tℓ is the ℓadic Tate module of an abelian variety over a number
ON THE WHITEHEAD GROUP OF NOVIKOV RINGS ASSOCIATED TO IRRATIONAL HOMOMORPHISMS
"... Given a homomorphism ξ: G → R we show that the natural map i ∗ : Wh(G) → Wh(G; ξ) from the Whitehead group of G to the Whitehead group of the Novikov ring is surjective. The group Wh(G; ξ) is of interest for the simple chain homotopy type of the Novikov complex. It also contains the Latour obstruc ..."
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Given a homomorphism ξ: G → R we show that the natural map i ∗ : Wh(G) → Wh(G; ξ) from the Whitehead group of G to the Whitehead group of the Novikov ring is surjective. The group Wh(G; ξ) is of interest for the simple chain homotopy type of the Novikov complex. It also contains the Latour
VIRTUALLY GEOMETRIC WORDS AND WHITEHEAD’S ALGORITHM
"... Abstract. Motivated by a question of Gordon and Wilton, we consider the question of which collections of words are “virtually geometric”. In particular, we prove that some words (e.g. bbaaccabc) are not virtually geometric. 1. Definitions and introduction Let G be a group, g = {[gi]}i∈I a collection ..."
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H be a 3–dimensional handlebody of genus n. We say a collection of conjugacy classes w = {[w1],..., [wr]} in F is geometric if for some isomorphism φ: Fn → π1(H) the induced map φw is homotopic in H to an embedding r⊔ φ ′ w: i=1 S 1 i ֒ → ∂H. In this case we also say that the finite presentation
Whitehead products in symplectomorphism groups and GromovWitten invariants
, 2008
"... Consider any symplectic ruled surface (M g λ, ωλ) = (Σg × S2, λσΣg ⊕ σS2). We compute all natural equivariant GromovWitten invariants EGWg,0(M g λ; Hk, A − kF) for all hamiltonian circle actions Hk on M g λ, where A = [Σg × pt] and F = [pt × S2]. We use these invariants to show the nontriviality o ..."
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of certain higher order Whitehead products that live in the homotopy groups of the symplectomorphism groups G g λ, g ≥ 0. Our results are sharper when g = 0, 1 and enable us to answer a question posed by D.McDuff in [13] in the case g = 1 and provide a new interpretation of the multiplicative structure
On a ConeManifold with the Euclidean Structure on the Whitehead Link
, 1997
"... A 3dimensional conemanifold S 3 (W; 2=ff) with the Euclidean structure on the Whitehead link is studied in this article. A method is given to construct the canonical fundamental set FS(ff) of the conemanifold S 3 (W; 2=ff) in the 3dimensional Euclidean space E 3 . The desired fundamental ..."
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A 3dimensional conemanifold S 3 (W; 2=ff) with the Euclidean structure on the Whitehead link is studied in this article. A method is given to construct the canonical fundamental set FS(ff) of the conemanifold S 3 (W; 2=ff) in the 3dimensional Euclidean space E 3 . The desired fundamental
Results 1  10
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158