Finite groups with few non-normal subgroups

作者:Lu, Jiakuan*; Pang, Linna; Qiu, Yanyan
来源:Journal of Algebra and Its Applications, 2015, 14(4): 1550057.
DOI:10.1142/S0219498815500577

摘要

For a finite group G, let v(G) denote the number of conjugacy classes of all non-normal subgroups of G, and let pi(G) denote the set of primes dividing the order of G. In this note, we shall classify the finite groups G with v(G) <= vertical bar pi(G)vertical bar.

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