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Finite Groups with Given Systems of K-U-Subnormal Subgroups
A subgroup H of a finite group G is called U-subnormal in Kegel’s sense or K - U -subnormal in G if there exists a chain of subgroups H = H 0 ≤ H 1 ≤…≤ H t = G such that either H i −1 is normal in H i or H i /( H i −1 ) H i is supersoluble for any i = 1,…, t . We describe finite groups for which eve...
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| Published in: | Ukrainian mathematical journal 2016-06, Vol.68 (1), p.57-66 |
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| Format: | Article |
| Language: | English |
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| container_end_page | 66 |
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| container_title | Ukrainian mathematical journal |
| container_volume | 68 |
| creator | Kovaleva, V. A. |
| description | A subgroup
H
of a finite group
G
is called U-subnormal in Kegel’s sense or
K
-
U
-subnormal in
G
if there exists a chain of subgroups
H
=
H
0
≤
H
1
≤…≤
H
t
=
G
such that either
H
i
−1
is normal in
H
i
or
H
i
/(
H
i
−1
)
H
i
is supersoluble for any
i
= 1,…,
t
. We describe finite groups for which every 2-maximal or every 3-maximal subgroup is
K
-
U
-subnormal. |
| doi_str_mv | 10.1007/s11253-016-1208-3 |
| format | article |
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H
of a finite group
G
is called U-subnormal in Kegel’s sense or
K
-
U
-subnormal in
G
if there exists a chain of subgroups
H
=
H
0
≤
H
1
≤…≤
H
t
=
G
such that either
H
i
−1
is normal in
H
i
or
H
i
/(
H
i
−1
)
H
i
is supersoluble for any
i
= 1,…,
t
. We describe finite groups for which every 2-maximal or every 3-maximal subgroup is
K
-
U
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H
of a finite group
G
is called U-subnormal in Kegel’s sense or
K
-
U
-subnormal in
G
if there exists a chain of subgroups
H
=
H
0
≤
H
1
≤…≤
H
t
=
G
such that either
H
i
−1
is normal in
H
i
or
H
i
/(
H
i
−1
)
H
i
is supersoluble for any
i
= 1,…,
t
. We describe finite groups for which every 2-maximal or every 3-maximal subgroup is
K
-
U
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H
of a finite group
G
is called U-subnormal in Kegel’s sense or
K
-
U
-subnormal in
G
if there exists a chain of subgroups
H
=
H
0
≤
H
1
≤…≤
H
t
=
G
such that either
H
i
−1
is normal in
H
i
or
H
i
/(
H
i
−1
)
H
i
is supersoluble for any
i
= 1,…,
t
. We describe finite groups for which every 2-maximal or every 3-maximal subgroup is
K
-
U
-subnormal.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s11253-016-1208-3</doi><tpages>10</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0041-5995 |
| ispartof | Ukrainian mathematical journal, 2016-06, Vol.68 (1), p.57-66 |
| issn | 0041-5995 1573-9376 |
| language | eng |
| recordid | cdi_proquest_journals_1880874212 |
| source | Springer Nature |
| subjects | Algebra Analysis Applications of Mathematics Geometry Mathematics Mathematics and Statistics Statistics Subgroups |
| title | Finite Groups with Given Systems of K-U-Subnormal Subgroups |
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