Унiтарнi пiдгрупи комутативних групових алгебр характеристики 2
DOI:
https://doi.org/10.37863/umzh.v72i6.1068Анотація
УДК 512.552.7
Нехай FG — групова алгебра скiнченної 2-групи G над скiнченним полем F характеристики 2 i ⊛ — iнволюцiя, що виникає iз групи G. ⊛ - унiтарна пiдгрупа FG, яка позначається V⊛(FG), визначається, як множина всiх нормалiзованих одиниць u, якi задовольняють властивiсть u⊛=u−1.
У данiй статтi знайдено порядок V⊛(FG) для всiх iнволюцiй ⊛ , якi виникають iз G, де G — скiнченна циклiчна 2-група, i показано, що всi ⊛ -унiтарнi пiдгрупи FG неiзоморфнi.
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