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pro vyhledávání: '"Victor D Mazurov"'
The spectrum of a finite group is the set of element orders of this group. The main goal of this paper is to survey results concerning recognition of finite simple groups by spectrum, in particular, to list all finite simple groups for which the reco
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8d91d6ee2888e2ce765cb8dc76fee072
Autor:
Igor Lavrov, Arkadii Anatol'evich Mal'tsev, Victor D Mazurov, Aleksander Aleksandrovich Nikitin, S. K. Godunov, Boris Grigor'evich Mikhailenko, Yuri Grigor'evich Reshetnyak, Anatolii Nikolaevich Konovalov, Larisa Maksimova, A. S. Morozov, Aleksandr A Borovkov, Evgenii Andreevich Palyutin, Sergey Goncharov
Publikováno v:
Russian Mathematical Surveys. 66:199-203
Autor:
Narain Gupta, Victor D. Mazurov
Publikováno v:
Bulletin of the Australian Mathematical Society. 60:197-205
For a periodic group G, denote by ω(G) the set of orders of elements in G. We prove that if ω(G) is a proper subset of the set {1, 2, 3, 4, 5} then either G is locally finite or G contains a nilpotent normal subgroup N such that G/N is a 5-group.
Autor:
Marian Deaconescu, Victor D. Mazurov
Publikováno v:
Archiv der Mathematik. 69:441-444
If a finite nonabelian group G has the property that $N_{G}(H)/C_{G}(H)\cong \hbox {Aut}\,(H)$ for every nonabelian subgroup H of G, then G is isomorphic to the holomorph of a group of odd prime order.