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 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...
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 ?
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1974
ISSN: 0021-8693
DOI: 10.1016/0021-8693(74)90175-6