Title
Qteorii konechno porozhdennykh grupp: Kvazitozhdestva, kvazimnogoobraziya (Russian Edition),Used
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Qteoriya klassa grupp (ili kvaziekvatsional'naya teoriya) eto mnozhestvo vsekh kvazitozhdestv, istinnykh v kazhdoy gruppe iz dannogo klassa. Monografiya posvyashchena sistematicheskomu issledovaniyu kvazimnogoobraziy grupp i ikh Qteoriy. Sushchestvennoe vnimanie udeleno voprosam nezavisimoy akiomatiziruemosti kvazimnogoobraziy, stroeniyu reshetok i polugruppy kvazimnogoobraziy. Vychisleny aksiomaticheskie rangi Qteoriy svobodnoy gruppy, gruppy s odnim opredelyayushchim sootnosheniem, svobodnoy razreshimoy gruppy, konechno porozhdennoy nil'potentnoy gruppy bez krucheniya, klassa vsekh pravouporyadochivaemykh grupp i nekotorykh drugikh. Izlozheny metody vlozheniya schetnykh grupp v konechno porozhdennye gruppy iz dannogo kvazimnogoobraziya. Izlagayutsya i ispol'zuyutsya metody kombinatornoy teorii grupp, tekhnika spleteniy grupp, elementy matematicheskoy logiki. Monografiya prednaznachena dlya spetsialistov v oblasti algebry i matematicheskoy logiki, aspirantov, studentov starshikh kursov universitetov.
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