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On the residual of a factorized group with widely supersoluble factors
Communications in Algebra ( IF 0.6 ) Pub Date : 2020-07-29 , DOI: 10.1080/00927872.2020.1786580
Victor S. Monakhov 1 , Alexander A. Trofimuk 1
Affiliation  

Abstract Let be the set of all primes. A subgroup H of G is called -subnormal in G, if either H = G, or there exists a chain Recall that G is -supersoluble, if every Sylow subgroup of G is -subnormal in G. The structure of -supersoluble residual of G = AB with -subnormal -supersoluble subgroups A and B is obtained.

中文翻译:

关于具有广泛超溶因子的分解群的残差

Abstract 让 是所有素数的集合。G 的一个子群 H 被称为 G 中的 -subnormal,如果 H = G,或者存在一个链 回想一下 G 是 -超可溶的,如果 G 的每个 Sylow 子群在 G 中都是 -subnormal 的。 = AB 与 -subnormal - 超溶亚群 A 和 B 被获得。
更新日期:2020-07-29
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