TITLE

On minimal non-MSN-groups

AUTHOR(S)
Guo, Pengfei; Guo, Xiuyun
PUB. DATE
October 2011
SOURCE
Frontiers of Mathematics in China;Oct2011, Vol. 6 Issue 5, p847
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
A finite group G is called an MSN-group if all maximal subgroups of the Sylow subgroups of G are subnormal in G. In this paper, we determinate the structure of non-MSN-groups in which all of whose proper subgroups are MSN-groups.
ACCESSION #
65798062

 

Related Articles

  • A condition for the solvability of finite groups. Miao, Long; Qian, Guohua // Siberian Mathematical Journal;Jul2009, Vol. 50 Issue 4, p687 

    A subgroup H is called ℳ-supplemented in a finite group G, if there exists a subgroup B of G such that G = HB and H1 B is a proper subgroup of G for every maximal subgroup H1 of H. We investigate the influence of ℳ-supplementation of Sylow subgroups and obtain a condition for...

  • Structure of finite groups with S-quasinormal third maximal subgroups. Lutsenko, Yu. V.; Skiba, A. N. // Ukrainian Mathematical Journal;Dec2009, Vol. 61 Issue 12, p1915 

    We study finite groups whose 3-maximal subgroups are permutable with all Sylow subgroups.

  • ON MINIMAL NON- MSP-GROUPS. Guo, P.; Zhang, X. // Ukrainian Mathematical Journal;Feb2012, Vol. 63 Issue 9, p1458 

    A finite group G is called an MSP-group if all maximal subgroups of the Sylow subgroups of G are S-quasinormal in G: We give a complete classification of groups that are not MSP-groups but all their proper subgroups are MSP-groups.

  • Finite Groups with X-permutable Maximal Subgroups of Sylow Subgroups. Jaraden, Jehad Jumah; Al-Dababseh, Awni Faez // Southeast Asian Bulletin of Mathematics;2007, Vol. 31 Issue 6, p1097 

    Let A, B be subgroups of a group G and ... ≠ X ⊆ G. Then, A is said to be X-permutable with B [6] if there exists an element x ∈ X such that ABx = Bx A. In this paper we study finite groups in which maximal subgroups of Sylow subgroups are X-permutable either with maximal...

  • The influence of M-normal subgroups of Sylow subgroups on the structure of finite groups. Zhaonian, P. U.; TANG Juping // Journal of Huazhong Normal University;2013, Vol. 52 Issue 2, p155 

    A subgroup H of G is said to be M-normal in G if there exists a normal subgroup B of G such that G = HB and H1B

  • Finite groups with some maximal subgroups of Sylow subgroups ℳ-supplemented. Long Miao // Mathematical Notes;Dec2009, Vol. 86 Issue 5/6, p655 

    A subgroup H of a group G is said to be ℳ-supplemented in G if there exists a subgroup B of G such that G = HB and TB < G for every maximal subgroup T of H. In this paper, we obtain the following statement: Let ℱ be a saturated formation containing all supersolvable groups and H be a...

  • The Influence of X-s-semipermutable Subgroups on the Structure of Finite Groups. Hao, L. P.; Zhang, X. J.; Yu, Q. // Southeast Asian Bulletin of Mathematics;2009, Vol. 33 Issue 3, p421 

    Let X be a non-empty subset of a group G. A subgroup A of G is said to be X-s-semipermutable in G if A has a supplement T in G such that for every Sylow subgroup Tp of T, there exists an element x ∈ X such that ATpx = Tpx A. In this paper, we use X-s-semipermutable subgroup to determine the...

  • Finite solvable groups with C-closed invariant subgroups. Antonov, V.; Chekanov, S. // Mathematical Notes;Jun/Jul2007, Vol. 81 Issue 5/6, p708 

    The article examines the finite solvable groups in which all normal subgroups are C-closed. It cites that it is easy to see that a subgroup H of a group G is C-closed if H = C(M) for some subset M of G. According to the article, the finite groups in which all subgroups are C-closed. It further...

  • Cyclicity conditions for G-chief factors of normal subgroups of a group G. Skiba, A. // Siberian Mathematical Journal;Jan2011, Vol. 52 Issue 1, p127 

    We find conditions under which every G-chief factor of a normal subgroup E of a finite group G is cyclic.

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics