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Factoring by subsets of cardinality of prime power

✍ Scribed by K. Corrádi; S. Szabó

Publisher
Springer Netherlands
Year
1993
Tongue
English
Weight
190 KB
Volume
26
Category
Article
ISSN
0031-5303

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📜 SIMILAR VOLUMES

Factoring by Subsets of Cardinality Prim
Factoring by Subsets of Cardinality Prime or Four
✍ K. Corradi; S. Szabo 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 362 KB

Rédei's theorem asserts that if a finite abelian group is a direct product of subsets of prime cardinality, then at least one of the factors is periodic. A theorem of A. D. Sands and S. Szabo states that if a finite elementary 2-group is factored into subsets of cardinality four, then at least one o

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For each positive integer j , let β j (n) := p|n p j . Given a fixed positive integer k, we show that there are infinitely many positive integers n having at least two distinct prime factors and such that β j (n) | n for each j ∈ {1, 2, . . . , k}.

On the Prime Power Factorization of n!
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✍ Yong-Gao Chen; Yao-Chen Zhu 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 105 KB

The parity of exponents in the prime power factorization of n! is considered. We extend and generalize Berend's result in [On the parity of exponents in the factorization of n!,

Cardinalities of noncentered systems of
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✍ Peter Vojtáš 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 340 KB

VojtaS, P., Cardinalities of noncentered systems of subsets of w, Discrete Mathematics 108 (1992) 125-129. We introduce a couple of new cardinal characteristics of o\* which are equal to the minimal size of a system of infinite subsets of w satisfying some properties which were till now considered