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Communications in Algebra Volume 28, 2000 - Issue 4
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Original Articles

On the order of the unitary subgroup of a modular group algebra

Victor Bovdi Lajos Kossuth University, H-410 Debrecen, P.O. Box 12, Hungary E-mail: [email protected]
&
A.L. Rosa Universidade Federal de Ouro Preto, Ouro Preto, MG, 35400-000, Brasil E-mail: [email protected]
Pages 1897-1905 | Received 01 Feb 1999, Published online: 27 Jun 2007

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Surinder Kaur & Manju Khan. (2020) The normal complement problem and the structure of the unitary subgroup. Communications in Algebra 48:8, pages 3628-3636.
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Kuldeep Kaur & Manju Khan. (2017) Units in modular group algebra. Communications in Algebra 45:3, pages 971-976.
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Articles from other publishers (28)

Yulei Wang & Heguo Liu. (2024) The unitary subgroups of group algebras for a class of finite 2-groups with the derived subgroup of order 2. Science China Mathematics.
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Yulei Wang & Heguo Liu. (2021) The unitary subgroups of group algebras of a class of finite p -groups . Journal of Algebra and Its Applications 22:02.
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Surinder Kaur. (2023) On the unit group of a semisimple group algebra and the normal complement problem. Archiv der Mathematik 120:2, pages 123-133.
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V. Bovdi. (2022) Modular group algebras whose group of unitary units is locally nilpotent. Acta Scientiarum Mathematicarum 88:3-4, pages 571-576.
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Zsolt Adam Balogh. (2022) The order of the unitary subgroups of group algebras. International Journal of Algebra and Computation 32:07, pages 1327-1334.
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Zsolt Adam BALOGH. (2022) On the isomorphism of unitary subgroups of noncommutative group algebras. Journal of Algebra Combinatorics Discrete Structures and Applications 9:2, pages 45-51.
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Zsolt Adam Balogh. (2020) Unitary units of the group algebra of modular groups. Journal of Algebra and Its Applications 21:02.
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. (2021) Centre of Unitary Subgroup of Modular Group Algebra’s. Punjab University Journal of Mathematics, pages 729-739.
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Mahera Rabee Qasem. (2021) Unitary and commutative rings and their relations with ideals. Materials Today: Proceedings.
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Zsolt Adam BALOGH. (2021) ON UNITARY SUBGROUPS OF GROUP ALGEBRAS. International Electronic Journal of Algebra 29:29, pages 187-198.
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S Kaur & M Khan. (2020) Normalized unit groups and their conjugacy classes. Proceedings - Mathematical Sciences 130:1.
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Z. Balogh & V. Laver. (2020) Unitary Subgroups of Commutative Group Algebras of the Characteristic Two. Ukrainian Mathematical Journal 72:6, pages 871-879.
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V. Laver & Zs. Balogh. (2020) Унiтарнi пiдгрупи комутативних групових алгебр характеристики 2*. Ukrains’kyi Matematychnyi Zhurnal 72:6, pages 751-757.
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Joe Gildea, Abidin Kaya, Rhian Taylor & Bahattin Yildiz. (2018) Constructions for self-dual codes induced from group rings. Finite Fields and Their Applications 51, pages 71-92.
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Zahid Raza & Maqsood Ahmad. (2018) Structure of the unitary subgroup of the group algebra 𝔽2n(QD)16. Journal of Algebra and Its Applications 17:04, pages 1850060.
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Neha Makhijani, R. K. Sharma & J. B. Srivastava. (2015) On the order of unitary subgroup of the modular group algebra 𝔽 2 k D 2N . Journal of Algebra and Its Applications 14:08, pages 1550129.
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Zahid Raza & Riasat Ali. (2015) On the unitary units of the group algebra 𝔽 2 k Q 16 . Asian-European Journal of Mathematics 08:01, pages 1550013.
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ZAHID RAZA & MAQSOOD AHMAD. (2014) ON THE STRUCTURE OF THE UNITARY SUBGROUP OF THE GROUP ALGEBRA 𝔽 2 q D 2 n . Journal of Algebra and Its Applications 13:04, pages 1350139.
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JEAN-PIERRE SERRE. (2014) BASES NORMALES AUTODUALES ET GROUPES UNITAIRES EN CARACT ÉRISTIQUE 2. Transformation Groups 19:2, pages 643-698.
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KULDEEP KAUR & MANJU KHAN. (2013) UNITS IN F 2 D 2p . Journal of Algebra and Its Applications 13:02, pages 1350090.
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ZAHID RAZA & MAQSOOD AHMAD. (2013) ON THE UNITARY UNITS OF THE GROUP ALGEBRA 𝔽 2 m M 16 . Journal of Algebra and Its Applications 12:08, pages 1350059.
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Zsolt Balogh, Leo Creedon & Joe Gildea. (2013) Involutions and unitary subgroups in group algebras. Acta Scientiarum Mathematicarum 79:3-4, pages 391-400.
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Joe Gildea. (2011) Units of Group Algebras of Non-Abelian Groups of Order 16 and Exponent 4 over $${\mathbb{F}_{2^k}}$$. Results in Mathematics 61:3-4, pages 245-254.
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JOE GILDEA. (2012) UNITS OF THE GROUP ALGEBRA 𝔽 2 κ(C 2 × D 8 ) . Journal of Algebra and Its Applications 10:04, pages 643-647.
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Leo Creedon & Joe Gildea. (2018) The Structure of the Unit Group of the Group Algebra. Canadian Mathematical Bulletin 54:2, pages 237-243.
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Joe Gildea. (2012) The structure of the unit group of the group algebra $\mathbb{F}_{2^k } A_4 $. Czechoslovak Mathematical Journal 61:2, pages 531-539.
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JOE GILDEA. (2012) THE STRUCTURE OF THE UNIT GROUP OF THE GROUP ALGEBRA OF PAULI'S GROUP OVER ANY FIELD OF CHARACTERISTIC 2. International Journal of Algebra and Computation 20:05, pages 721-729.
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LEO CREEDON & JOE GILDEA. (2011) UNITARY UNITS OF THE GROUP ALGEBRA 𝔽 2 k Q 8 . International Journal of Algebra and Computation 19:02, pages 283-286.
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