Finite $p$-groups whose normal closures of non-normal subgroups have two orders

논문KCI 등재

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

We describe the structure of finite $p$-groups in which all normal closures of non-normal subgroups have two orders for $p>2$.

We describe the structure of finite $p$-groups in which all normal closures of non-normal subgroups have two orders for $p>2$.

L. An, "Finite p-groups whose non-normal subgroups have few orders", Front. Math. China, 13(4), pp.763~777 (2018)[DOI]
Y. Berkovich, "Groups of prime power order. Vol. 1" (2008), Walter de Gruyter GmbH & Co. KG
L. L. Li, "Central extension of inner abelian p-groups. I", Acta Math. Sinica (Chinese Ser.), 53(4), pp.675~684 (2010)
D. S. Passman, "Nonnormal subgroups of p-groups", J. Algebra, 15, pp.352~370 (1970)[DOI]
L. Wang, "Finite groups in which the normal closures of non-normal subgroups have the same order", J. Algebra Appl, 15(7), pp.1650125~ (2016)[DOI]
M. Y. Xu, "A theorem on metabelian p-groups and some consequences", Chinese Ann. Math. Ser. B, 5(1), pp.1~6 (1984)
Qinhai Zhang, "Finite groups which have many normal subgroups", 대한수학회지, 46(6), pp.1165~1178 (2009), 대한수학회
Q. Zhang, "Finite p-groups whose nonnormal subgroups have orders at most p3", Front. Math. China, 9(5), pp.1169~1194 (2014)[DOI]
Q. Zhang, "Finite 2-groups whose nonnormal subgroups have orders at most 23", Front. Math. China, 7(5), pp.971~1003 (2012)[DOI]
J. Zhang, "Finite p-groups all of whose minimal nonnormal subgroups posses large normal closures", Comm. Algebra, 44(2), pp.628~638 (2016)[DOI]