# Commutative group algebras of highly torsion-complete abelian $p$-groups

Commentationes Mathematicae Universitatis Carolinae (2003)

- Volume: 44, Issue: 4, page 587-592
- ISSN: 0010-2628

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topDanchev, Peter Vassilev. "Commutative group algebras of highly torsion-complete abelian $p$-groups." Commentationes Mathematicae Universitatis Carolinae 44.4 (2003): 587-592. <http://eudml.org/doc/249171>.

@article{Danchev2003,

abstract = {A new class of abelian $p$-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).},

author = {Danchev, Peter Vassilev},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {high subgroups; torsion-complete groups; group algebras; direct factors; high subgroups; torsion-complete groups; modular group algebras; direct factors; isomorphism problem; Abelian -groups; algebraically compact groups; semisimple group algebras},

language = {eng},

number = {4},

pages = {587-592},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {Commutative group algebras of highly torsion-complete abelian $p$-groups},

url = {http://eudml.org/doc/249171},

volume = {44},

year = {2003},

}

TY - JOUR

AU - Danchev, Peter Vassilev

TI - Commutative group algebras of highly torsion-complete abelian $p$-groups

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 2003

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 44

IS - 4

SP - 587

EP - 592

AB - A new class of abelian $p$-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).

LA - eng

KW - high subgroups; torsion-complete groups; group algebras; direct factors; high subgroups; torsion-complete groups; modular group algebras; direct factors; isomorphism problem; Abelian -groups; algebraically compact groups; semisimple group algebras

UR - http://eudml.org/doc/249171

ER -

## References

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