The IC-property of primary subgroups

Yaxin Gao and Xianhua Li ()
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Yaxin Gao: Soochow University
Xianhua Li: Soochow University

Indian Journal of Pure and Applied Mathematics, 2023, vol. 54, issue 1, 110-116

Abstract: Abstract 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.

Keywords: Finite group; Sylow subgroup; IC-property; p-Nilpotent; Formation; 20D10; 20D20 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13226-022-00235-8

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