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- W1969324433 abstract "For a finite group G, let γ(G) denote the number of conjugacy classes of all non-nilpotent subgroups of G, and let π(G) denote the set of the prime divisors of |G|. In this paper, we establish lower bounds on γ(G). In fact, we show that if G is a finite solvable group, then γ(G) = 0 or γ(G) ≥ 2 |π(G)|-2 , and if G is non-solvable, then γ(G) ≥ |π(G)| + 1. Both lower bounds are best possible." @default.
- W1969324433 created "2016-06-24" @default.
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- W1969324433 date "2014-11-07" @default.
- W1969324433 modified "2023-09-25" @default.
- W1969324433 title "Lower bounds on conjugacy classes of non-nilpotent subgroups in a finite group" @default.
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- W1969324433 doi "https://doi.org/10.1142/s0219498815500395" @default.
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