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JOURNALS
// Sibirskii Matematicheskii Zhurnal
// Archive
Sibirsk. Mat. Zh.,
2013
Volume 54,
Number 4,
Pages
826–837
(Mi smj2460)
This article is cited in
1
paper
On indices of subgroups in the join of their conjugate pairs
Xianhua Li
a
,
Xinjian Zhang
b
a
School of Mathematics Science, Soochow University, Suzhou 215006, P. R. China
b
School of Mathematical Science, Huaiyin Normal University, Huaian, Jiangsu 223300, P. R. China
Abstract:
Under study is the influence of the index of
$H$
in
$\langle H,H^g\rangle$
for
$g\in G$
on the structure of a group
$G$
, where
$H$
is either a second maximal subgroup of
$G$
or a Sylow subgroup of
$G$
.
Keywords:
second maximal subgroup, Sylow subgroup, solvable group, supersolvable group.
UDC:
512.542
Received:
15.12.2011
Fulltext:
PDF file (375 kB)
References
Cited by
English version:
Siberian Mathematical Journal, 2013,
54
:4,
656–665
Bibliographic databases:
©
Steklov Math. Inst. of RAS
, 2024