Subgroups of the basic subgroup in a modular group ring
Peter Vassilev Danchev (2005)
Mathematica Slovaca
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Peter Vassilev Danchev (2005)
Mathematica Slovaca
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Danchev, P. (1997)
Serdica Mathematical Journal
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∗ The work was supported by the National Fund “Scientific researches” and by the Ministry of Education and Science in Bulgaria under contract MM 70/91. Let K be a field of characteristic p > 0 and let G be a direct sum of cyclic groups, such that its torsion part is a p-group. If there exists a K-isomorphism KH ∼= KG for some group H, then it is shown that H ∼= G. Let G be a direct sum of cyclic groups, a divisible group or a simply presented torsion abelian group. Then...
Vlastimil Dlab (1960)
Czechoslovak Mathematical Journal
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Peter Vassilev Danchev (2003)
Commentationes Mathematicae Universitatis Carolinae
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A new class of abelian -groups with all high subgroups isomorphic is defined. Commutative modular and semisimple group algebras over such groups are examined. The results obtained continue our recent statements published in Comment. Math. Univ. Carolinae (2002).
J. Łoś (1957)
Fundamenta Mathematicae
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