Abstract:
We describe the projective soluble abelian groups of class ⩽2 in the classes of nonreduced periodic split coperiodic groups and torsion-free separable and vector groups.
Keywords:
projectively soluble module, projective commutant, projective center, projectively central series, conjugate projection.
This publication is cited in the following 8 articles:
A. R. Chekhlov, “On projectively fully transitive Abelian groups”, J. Math. Sci., 259:4 (2021), 506–514
A. R. Chekhlov, “Vpolne inertnye podgruppy vpolne razlozhimykh grupp konechnogo ranga i ikh soizmerimost”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2016, no. 3(41), 42–50
Chekhlov A.R. Danchev P.V., “on Commutator Fully Transitive Abelian Groups”, J. Group Theory, 18:4 (2015), 623–647
A. R. Chekhlov, “On Abelian groups with commutative commutators of endomorphisms”, J. Math. Sci., 230:3 (2018), 502–506
A. R. Chekhlov, “Torsion-Free Weakly Transitive E-Engel Abelian Groups”, Math. Notes, 94:4 (2013), 583–589
A. R. Chekhlov, “O pryamykh summakh tsiklicheskikh grupp s invariantnymi monomorfizmami”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2013, no. 3(23), 60–65
A. R. Chekhlov, Ml. V. Agafontseva, “Ob abelevykh gruppakh s tsentralnymi kvadratami kommutatorov endomorfizmov”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2013, no. 4(24), 54–59
A. R. Chekhlov, “On abelian groups with commuting monomorphisms”, Siberian Math. J., 54:5 (2013), 946–950
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