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Dergiler / International Electronic Journal of Algebra / 2021 / Cilt: 29 - Sayı: 29

ON UNITARY SUBGROUPS OF GROUP ALGEBRAS

Zsolt Adam BALOGH
Sayfa
187–198
Yayın Tarihi
2021-01-05
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

A variant of the modular isomorphism question of group algebras is also considered.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Let $FG$ be the group algebra of a finite $p$-group $G$ over a finite field $F$ of characteristic $p$ and let $*$ be the classical involution of $FG$.
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Temel Bulgular & Veri:The $*$-unitary subgroup of $FG$, denoted by $V_*(FG)$, is defined to be the set of all normalized units $u$ satisfying the property $u^*=u^{-1}$.
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Sonuç & Katkı:A variant of the modular isomorphism question of group algebras is also considered.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Group ring · group of units · unitary subgroup

Abstract

Let $FG$ be the group algebra of a finite $p$-group $G$ over a finite field $F$ of characteristic $p$ and let $*$ be the classical involution of $FG$. The $*$-unitary subgroup of $FG$, denoted by $V_*(FG)$, is defined to be the set of all normalized units $u$ satisfying the property $u^*=u^{-1}$. In this paper we give a recursive method how to compute the order of the $*$-unitary subgroup for certain non-commutative group algebras. A variant of the modular isomorphism question of group algebras is also considered.

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Bu Makaleye Atıf Yap

BALOGH, Z. A. (2021). ON UNITARY SUBGROUPS OF GROUP ALGEBRAS. International Electronic Journal of Algebra, Cilt: 29 - Sayı: 29, 187–198. https://ajindex.com/articles/832244

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Kaynakça (18)

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