Subgroups of the basic subgroup in a modular group ring
Peter Vassilev Danchev (2005)
Mathematica Slovaca
Similarity:
Displaying similar documents to “Sylow P-Subgroups of Abelian Group Rings”
Subgroups of the basic subgroup in a modular group ring
Isomorphism of Commutative Modular Group Algebras
Danchev, P. (1997)
Serdica Mathematical Journal
Similarity:
∗ 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...
The Frattini subgroups of abelian groups
Vlastimil Dlab (1960)
Czechoslovak Mathematical Journal
Similarity:
Commutative group algebras of highly torsion-complete abelian -groups
Peter Vassilev Danchev (2003)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
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).