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On intersections of normal subgroups in groups

Kulikova, O. V. (Луганский национальный университет им. Т. Шевченко, 2004)

The paper is a generalization of. For a group H = hA|Oi, conditions for the equality N1 ∩ N2 = [N1, N2] are given in terms of pictures, where Ni is the normal closure of a set R i ⊂ H for i = 1, 2.
On intersections of normal subgroups in groups

Kulikova, O. V. (2004)

The paper is a generalization of . For a group H = hA|Oi, conditions for the equality N1 ∩ N2 = [ N1, N2] are given in terms of pictures, where ¯Ni is the normal closure of a set Ri ⊂ H for i = 1, 2.
On simple groups of large exponents

Sonkin, Dmitriy (Луганский национальный университет им. Т. Шевченко, 2004)

It is shown that the set of pairwise non-isomorphic 2-generated simple groups of exponent n (n ≥ 248 and n is odd or divisible by 29) is of cardinality continuum. As a corollary, for any sufficiently large n the set of ...
Partial resolutions in monoid cohomology

Grillet, P. A. (Луганский национальный университет им. Т. Шевченко, 2004)

Partial resolutions are constructed for the Eilenberg-MacLane cohomology of monoids, with applications to examples.
Subsets of defect 3 in elementary Abelian 2-groups

Novikov, B. V.; Polyakova, L. Yu. (Луганский национальный университет им. Т. Шевченко, 2004)

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