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O Porozhdayushchikh Mnozhestvakh Involyutsiy Konechnykh Grupp I Smezhnye Voprosy: Vychislitel'nyy Podkhod Aleksey Makosiy Russian edition
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O Porozhdayushchikh Mnozhestvakh Involyutsiy Konechnykh Grupp I Smezhnye Voprosy: Vychislitel'nyy Podkhod
Aleksey Makosiy
Tsel'yu nastoyashchey raboty yavlyaetsya postroenie dlya konechnykh prostykh grupp porozhdayushchikh mnozhestv s nekotorymi usloviyami i vychislenie ryada parametrov porozhdayushchikh i svyazannykh s nimi mnozhestv. Osnovnoy issledovatel'skoy paradigmoy yavlyaetsya ispol'zovanie komp'yuternykh vychisleniy. Algoritmy realizovany na yazyke sistemy komp'yuternoy algebry GAP, v tom chisle s primeneniem metodov parallel'nogo programmirovaniya. Osnovnye rezul'taty svyazany s voprosom otyskaniya mazurovskikh troek involyutsiy - trekh porozhdayushchikh gruppu involyutsiy, dve iz kotorykh perestanovochny. Predlozheny algoritmy poiska takikh troek involyutsiy s realizatsiey dlya ryada znakoperemennykh grupp i sporadicheskoy gruppy Bebi B. V rabote priveden algoritm postroeniya gamil'tonovykh tsiklov v grafe Keli gruppy, obladayushchey mazurovskoy troykoy involyutsiy. Issledovan ryad drugikh voprosov, v tom chisle polucheno znachenie, libo nizhnyaya otsenka chisla orbit pri deystvii silovskoy 2-podgruppy sopryazheniyami na mnozhestve silovskikh 2-podgrupp, trivial'no peresekayushchikhsya s ney v gruppakh avtomorfizmov ryada grupp lieva tipa. Poluchennye rezul'taty mogut byt' ispol'zovany v teorii grupp i ee prilozheniyakh.
| Media | Books Paperback Book (Book with soft cover and glued back) |
| Released | June 13, 2011 |
| ISBN13 | 9783844351514 |
| Publishers | LAP LAMBERT Academic Publishing |
| Pages | 88 |
| Dimensions | 150 × 5 × 225 mm · 149 g |
| Language | German |