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Fokus gruppalarning gipеrbolik mеtrika bilan aloqasi.

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MAQOLA ANNOTATSIYASI

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Maqolada chekli sikllik gruppalarninig erkin ko’paytmasining diskretligining ba’zi shartlarini o’rganish ko’zda tutilgan. Bu shartlarni ba’zi bir konkret chekli fokus gruppalar uchun tekshirish, geperbolik metrikaning fokus gruppa harakati amaliga nisbatan invariantligi isbotlangan. Geperbolik metrika sohasida misollar ko’rilgan. Maqolada fokus gruppalarni fundamental Ford sohasi yordamida kasr-chiziqli akslantirishlar va ularni qurish haqida ma’lumot beriladi. Geringa, Maklahlana va Martin ishlari ikkita elliptik akslantirish misolida ko’rsatiladi. Natija shuni ko’rsatadiki, ular Geringa, Maklahlana va Martin shartlarini qanoatlantiradi.

MUALIFLAR

Teglar

# циклические группы# гиперболическая линия# элементы группы Клейна# дискретные группы Мёбиуса# изометрическая окружность# фундаментальная область# sikl guruhlar# gipеrbolik chiziq# Klеyna gruppasining elеmеntlari# Myobiusa diskrеt gruppasi# izomеtrik aylana# fundamеntal oblast# cyclic groups# a hyperbolic line# elements of Klein group# discrete Mobius groups# isometric circle fundamental reg

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Maqola idintifikatorlari

Foydalanilgan adabiyotlar

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Ahlfors L.V. Mobius transformations in several dimensions. − Minnesota, 1981. − Univ of Minnesota Lecture Notes.

Greenberg L. Finiteness theoreme for Fuchsian and Kleinian groups. – In: Discrete Groups and Automorphic Functions / ED. W.J.Harvey. − LND.: Academic Press, 1977.

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