منابع مشابه
CONCORDANCE OF Zp × Zp ACTIONS ON S 4
The main result of [7] was that if M is a simply-connected four-manifold admitting an effective, homologically trivial, locally linear action byG = Zp×Zp, where p is prime, then M is equivariantly homeomorphic to a connected sum of standard actions on copies of ±CP 2 and S2 × S2 with a possibly non-standard action on S4. In this note we further examine these non-standard actions on the sphere. ...
متن کاملFour-manifolds which admit Zp ×Zp actions
We show that the simply-connected four-manifolds which admit locally linear, homologically trivial Zp ×Zp actions are homeomorphic to connected sums of ±CP 2 and S × S (with one exception: pseudofree Z3 × Z3 actions on the Chern manifold), and also establish an equivariant decomposition theorem. This generalizes results from a 1970 paper by Orlik and Raymond about torus actions, and complements...
متن کاملAN IMPROVEMENT ON OLSON’S CONSTANT FOR Zp ⊕ Zp
We prove that for a prime number p greater than 6000, the Olson’s constant for the group Zp ⊕ Zp is given by Ol(Zp ⊕ Zp) = p − 1 + Ol(Zp).
متن کاملSUBSET SUMS IN Zp
Let Zp be the finite field of prime order p and A be a subset of Zp. We prove several sharp results about the following two basic questions: (1) When can one represent zero as a sum of distinct elements of A ? (2) When can one represent every element of Zp as a sum of distinct elements of A ?
متن کاملON SUMSETS OF MULTISETS IN Zp
For a sequence A of given length n contained in Zp we study how many distinct subsums A must have when A is not “wasteful” by containing too many elements in same subgroup. Martin, Peilloux and Wong have made a conjecture for a sharp lower bound and established it when n is not too large whereas Peng has previously established the conjecture for large n. In this note we build on these earlier w...
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2007
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2007.7.785