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math.GR2014
On Varietal Capability of Direct Products of Groups and Pair of Groups
Hanieh Mirebrahimi, Behrooz Mashayekhy
In this paper we give some conditions in which a direct product of groups is capable if and only if each of its factors is capable for some varieties $\…
math.GR2014
On the Exponent of the Schur multiplier of a Pair of Finite -Groups
Fahimeh Mohammadzadeh, Azam Hokmabadi, Behrooz Mashayekhy
In this paper, we find an upper bound for the exponent of the Schur multiplier of a pair of finite -groups, when admits a complement in . As a consequence, we sho…