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We give two characterizations of saturated formations of finite groups in terms of complemented and supplemented subgroups.
An Arguesian primary lattice of geometric dimension at least three isomorphically embedding in a lattice of all subspaces of a vector space.
We examine two particular constructions that derive from a 2-group G=G(⋅) another 2-group G(*) for the case when G(⋅) is one of
. The constructions (cyclic and dihedral) have the property that x*y=x⋅y for exactly 3/4 of all pairs (x,y)∈G×G.
We obtain an explicit formula for the number of solutions of a special equation in a finite field under a certain restriction on the exponents.
In this paper we prove that the braid group B
2) of 2-sphere, mapping class group M(0,n) of the n-punctured 2-sphere and the braid group B
2) of the projective plane are linear.
Description of mixed Abelian groups in which the closure of any pure subgroup in the Z-adic and p-adic topologies for every prime p is a direct summand of the initial group is obtained.
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