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Đồng hình học của đại số Brauer
Tóm tắt
Bài báo này khảo sát đồng hình học của các đại số Brauer, được diễn giải như là các nhóm $${{\,\mathrm{Tor}\,}}$$ thích hợp, và chỉ ra rằng nó có mối liên hệ chặt chẽ với đồng hình học của nhóm đối xứng. Kết quả chính của chúng tôi cho thấy rằng khi tham số định nghĩa $$\delta $$ của đại số Brauer là khả nghịch, thì đồng hình học của đại số Brauer là đồng cấu với đồng hình học của nhóm đối xứng, và rằng khi $$\delta $$ không khả nghịch, thì đồng cấu này vẫn giữ đúng trong một khoảng bậc mà gia tăng với n.
Từ khóa
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