# Isomorphism of Commutative Modular Group Algebras

Serdica Mathematical Journal (1997)

- Volume: 23, Issue: 3-4, page 211-224
- ISSN: 1310-6600

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topDanchev, P.. "Isomorphism of Commutative Modular Group Algebras." Serdica Mathematical Journal 23.3-4 (1997): 211-224. <http://eudml.org/doc/11614>.

@article{Danchev1997,

abstract = {∗ 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 KH ∼= KG as K-algebras for all
fields K and some group H if and only if H ∼= G.},

author = {Danchev, P.},

journal = {Serdica Mathematical Journal},

keywords = {Isomorphism; Commutative Group Algebras; Units; Direct Sum of Cyclics; Splitting Groups; commutative group algebras; isomorphism problem; direct sums of cyclic groups; simply presented torsion Abelian groups},

language = {eng},

number = {3-4},

pages = {211-224},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Isomorphism of Commutative Modular Group Algebras},

url = {http://eudml.org/doc/11614},

volume = {23},

year = {1997},

}

TY - JOUR

AU - Danchev, P.

TI - Isomorphism of Commutative Modular Group Algebras

JO - Serdica Mathematical Journal

PY - 1997

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 23

IS - 3-4

SP - 211

EP - 224

AB - ∗ 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 KH ∼= KG as K-algebras for all
fields K and some group H if and only if H ∼= G.

LA - eng

KW - Isomorphism; Commutative Group Algebras; Units; Direct Sum of Cyclics; Splitting Groups; commutative group algebras; isomorphism problem; direct sums of cyclic groups; simply presented torsion Abelian groups

UR - http://eudml.org/doc/11614

ER -

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