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Relations between Schmidt's, Miller-Moreno's Groups and Groups with Basis Property

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Abstract:

In this paper we prove that a Schmidt's group forms a group with basis property if and only if it is a Miller- Moreno's group of type G(p,q) such that (p≠q(p,q are primes). Therefore doesn’t group with basis property if it is a Miller- Moreno's group of type G(p,qv), vϵN, v>1.

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Periodical:
Bulletin of Mathematical Sciences and Applications (Volume 1)
Pages:
41-45
DOI:
10.18052/www.scipress.com/BMSA.1.41
Citation:
M. Alkadhi "Relations between Schmidt's, Miller-Moreno's Groups and Groups with Basis Property", Bulletin of Mathematical Sciences and Applications, Vol. 1, pp. 41-45, 2012
Online since:
Aug 2012
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