Behrooz Mashayekhy
On Topological Homotopy Groups of Inverse Limit Spaces.
Wed, 01/11/2012 - 15:01 — SomNambulAuthors: Behrooz Mashayekhy, Tayyabe Nasri, Hanieh Mirebrahimi
Subjects: Algebraic Topology
AbstractThe paper is devoted to show that topological homotopy groups commute with
inverse limits under certain circumstances. As a consequence, we present some
conditions under which the topological homotopy group of an inverse limit space
is a topological group. We also give some conditions for countability of
homotopy groups.On the Order of the Schur Multiplier of a Pair of Finite p-Groups.
Fri, 01/14/2011 - 16:01 — SomNambulAuthors: Azam Hokmabadi, Fahimeh Mohammadzadeh, Behrooz Mashayekhy
Subjects: Group Theory
AbstractIn 1997, G. Ellis defined the Schur multiplier of a pair (G,N) of groups and
mentioned that this notion is a useful tool for studying pairs of groups. In
this paper we characterize the structure of a pair of finite p-groups (G,N) in
terms of the order of the Schur multiplier of (G,N) under some conditions.
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