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MODULE HOMOMORPHISMS OF GROUP ALGEBRAS OF CYCLIC p-GROUPS IN CHARACTERISTIC p

Year 2010, Volume: 7 Issue: 7, 59 - 77, 01.06.2010

Vahid Shirbisheh

Abstract

Given a prime number p, we study the module theory of F[G], where F is a field of characteristic p and G is a cyclic p-group. We describe a construction of the set of all injective homomorphisms between two finitely generated F[G]-modules in terms of their numerical invariants. We also give a conceptual characterization of injective F[G]-homomorphisms. Finally, we characterize all submodules of a given finitely generated F[G]-module. These results were applied to describe all solutions of a specific type of Galois embedding problems in [8].

Keywords

module theory group algebras cyclic p-groups Galois embedding problems

Year 2010, Volume: 7 Issue: 7, 59 - 77, 01.06.2010

Vahid Shirbisheh

Abstract

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Other ID JA24FN89TN
Journal Section Articles
Authors

Vahid Shirbisheh This is me

Publication Date June 1, 2010
Published in Issue Year 2010 Volume: 7 Issue: 7

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APA Shirbisheh, V. (2010). MODULE HOMOMORPHISMS OF GROUP ALGEBRAS OF CYCLIC p-GROUPS IN CHARACTERISTIC p. International Electronic Journal of Algebra, 7(7), 59-77.
AMA Shirbisheh V. MODULE HOMOMORPHISMS OF GROUP ALGEBRAS OF CYCLIC p-GROUPS IN CHARACTERISTIC p. IEJA. June 2010;7(7):59-77.
Chicago Shirbisheh, Vahid. “MODULE HOMOMORPHISMS OF GROUP ALGEBRAS OF CYCLIC P-GROUPS IN CHARACTERISTIC P”. International Electronic Journal of Algebra 7, no. 7 (June 2010): 59-77.
EndNote Shirbisheh V (June 1, 2010) MODULE HOMOMORPHISMS OF GROUP ALGEBRAS OF CYCLIC p-GROUPS IN CHARACTERISTIC p. International Electronic Journal of Algebra 7 7 59–77.
IEEE V. Shirbisheh, “MODULE HOMOMORPHISMS OF GROUP ALGEBRAS OF CYCLIC p-GROUPS IN CHARACTERISTIC p”, IEJA, vol. 7, no. 7, pp. 59–77, 2010.
ISNAD Shirbisheh, Vahid. “MODULE HOMOMORPHISMS OF GROUP ALGEBRAS OF CYCLIC P-GROUPS IN CHARACTERISTIC P”. International Electronic Journal of Algebra 7/7 (June 2010), 59-77.
JAMA Shirbisheh V. MODULE HOMOMORPHISMS OF GROUP ALGEBRAS OF CYCLIC p-GROUPS IN CHARACTERISTIC p. IEJA. 2010;7:59–77.
MLA Shirbisheh, Vahid. “MODULE HOMOMORPHISMS OF GROUP ALGEBRAS OF CYCLIC P-GROUPS IN CHARACTERISTIC P”. International Electronic Journal of Algebra, vol. 7, no. 7, 2010, pp. 59-77.
Vancouver Shirbisheh V. MODULE HOMOMORPHISMS OF GROUP ALGEBRAS OF CYCLIC p-GROUPS IN CHARACTERISTIC p. IEJA. 2010;7(7):59-77.