The IC-property of primary subgroups

Let G be a finite group and H a subgroup of G . We call that H has IC -property if the intersection of H and [ H ,  G ] satisfy some conditions. In this paper, we investigate the structure of finite group G under the assumption that some primary subgroups of G have IC -property and obtain some new r...

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Bibliographic Details
Published inIndian journal of pure and applied mathematics Vol. 54; no. 1; pp. 110 - 116
Main Authors Gao, Yaxin, Li, Xianhua
Format Journal Article
LanguageEnglish
Published New Delhi Indian National Science Academy 01.03.2023
Springer Nature B.V
Subjects
Applications of Mathematics
Group theory
Mathematics
Mathematics and Statistics
Numerical Analysis
Original Research
Subgroups
Nilpotent
20D10
20D20
Finite group
property
Formation
Sylow subgroup
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Summary:Let G be a finite group and H a subgroup of G . We call that H has IC -property if the intersection of H and [ H ,  G ] satisfy some conditions. In this paper, we investigate the structure of finite group G under the assumption that some primary subgroups of G have IC -property and obtain some new results.
ISSN:0019-5588
0975-7465
DOI:10.1007/s13226-022-00235-8