Three Sylow theorems and their proofs

Dezheng Li

doi:10.1117/12.2639300

17 May 2022 Three Sylow theorems and their proofs

Dezheng Li

Proceedings Volume 12259, 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022); 122591T (2022) https://doi.org/10.1117/12.2639300
Event: 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing, 2022, Kunming, China

Abstract

In this paper, we will give a summary of 𝑝𝑝-group, Sylow 𝑝𝑝-subgroup and Sylow theorems, and we will introduce similar properties of Hall ππ-subgroup, which is generalized case of Sylow 𝑝𝑝-subgroup. And then we will give a strict proof of Sylow theorems. At the same time, we also use this theorem to prove a series of useful theorems.

Citation Download Citation

Dezheng Li "Three Sylow theorems and their proofs", Proc. SPIE 12259, 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022), 122591T (17 May 2022); https://doi.org/10.1117/12.2639300

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