On finite factorized groups with permutable subgroups of factors
Two subgroups A and B of a group G are called msp-permutable if the following statements hold: AB is a subgroup of G ; the subgroups P and Q are mutually permutable, where P is an arbitrary Sylow p -subgroup of A and Q is an arbitrary Sylow q -subgroup of B , p ≠ q . In the present paper, we...
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Veröffentlicht in: | Archiv der Mathematik 2021-03, Vol.116 (3), p.241-249 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | Two subgroups
A
and
B
of a group
G
are called msp-permutable if the following statements hold:
AB
is a subgroup of
G
; the subgroups
P
and
Q
are mutually permutable, where
P
is an arbitrary Sylow
p
-subgroup of
A
and
Q
is an arbitrary Sylow
q
-subgroup of
B
,
p
≠
q
. In the present paper, we investigate groups that are factorized by two msp-permutable subgroups. In particular, the supersolubility of the product of two supersoluble msp-permutable subgroups is proved. |
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ISSN: | 0003-889X 1420-8938 |
DOI: | 10.1007/s00013-020-01535-3 |