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It is proved that the variety of all normal-valued m -groups is the greatest proper subvariety in the lattice of all m -varieties.
We prove a theorem saying that in finitely generated linearly ordered metabelian groups there exists a finite system of normal convex subgroups satisfying orderability conditions for groups, and an embedding theorem for linearly ordered metabelian groups whose initial linear orders extend to...
We examine the automorphism group Aut( F n ) of a free group F n of rank n ⩾ 2 on free generators x 1 , x 2 ,..., x n . It is known that Aut( F 2 ) can be built from cyclic subgroups using a free and semidirect product. A question remains open as to whether this result can be extended to the...
Maximal 2-signalizers and centralizers of Sylow 2-subgroups in all finite simple groups are described. Also normalizers are computed for Sylow 2-subgroups in the finite simple groups of exceptional Lie type over a field of odd characteristic.
We investigate the effects of adding uniformity requirements to concepts in computable structure theory such as computable categoricity (of a structure) and intrinsic computability (of a relation on a computable structure). We consider and compare two different notions of uniformity, previously...
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