1.
有限群共轭类长的若干公开问题与猜想的研究,2025.01—2028.12,国家自然基金面上项目,44万,主持
2.
有限群的共轭类与有限群结构,国家自然科学基金委面上项目,2021.01-2024.12,
52万,主持.
3.
互素作用下不变子群与有限群的结构, 山东省自然科学基金委,2021.01-2023.12,10万, 主持.
4.
元素的共轭类长对有限群及正规子群的结构的影响, 山东省自然科学基金委, 2019.06-2022.06, 14万,主持
1. Beltrán,
A., Shao, C. Extensions of a theorem of P. Hall on indexes of
maximal subgroups, Forum Math., 37 (2025), no. 6, 1753–1758.
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Beltrán, Second maximal invariant subgroups and solubility of finite groups, Communications
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(2024), no. 1, 45–54.
5. Changguo Shao, Antonio
Beltrán*, Invariant TI-subgroups and structure of finite groups, Journal of
Pure and Applied Algebra, 224(4): 106566, 2021.
6. Changguo
Shao, Antonio Beltrán*, Orbits of maximal invariant subgroups and
solvability of finite groups, Journal of Algebra, 539(1)(2019): 117-200.
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Beltrán*, Changguo Shao, On the number of invariant Sylow subgroups
under coprime action, Journal of Algebra, 490: 380–389, 2017.
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Shao, A.Beltran, Coprime action and arithmetical conditions on invariant
conjugacy classes, SCIENCE CHINA Mathematics, 2015, 58(12): 2499-2504.
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Shao, Qinhui Jiang(*), An extension of a theorem of Alan Camina's on
conjugacy class sizes, Israel Journal of Mathematics, 204:145-153, 2014.
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Shao, Qinhui Jiang(*), On conjugacy class sizes of primary and biprimary
elements of a finite group, Sci. China Math., 57(3), pp 491-498,2014.