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JOURNALS
// Sibirskii Matematicheskii Zhurnal
// Archive
Sibirsk. Mat. Zh.,
2007
Volume 48,
Number 3,
Pages
631–644
(Mi smj53)
This article is cited in
3
papers
The local finiteness of some groups generated by a conjugacy class of order 3 elements
A. A. Maksimenko
,
A. S. Mamontov
Novosibirsk State University, Mechanics and Mathematics Department
Abstract:
We prove local finiteness for the groups generated by a conjugacy class of order 3 elements whose every pair generates a subgroup that is isomorphic to
$Z_3$
,
$A_4$
,
$A_5$
,
$SL_2(3)$
, or
$SL_2(5)$
.
Keywords:
group, locally finite group, conjugacy class.
UDC:
512.542
Received:
14.07.2005
Fulltext:
PDF file (234 kB)
References
Cited by
English version:
Siberian Mathematical Journal, 2007,
48
:3,
508–518
Bibliographic databases:
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Steklov Math. Inst. of RAS
, 2024