共查询到20条相似文献,搜索用时 15 毫秒
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《代数通讯》2013,41(6):2843-2851
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Diego Velasco 《代数通讯》2017,45(8):3610-3618
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《代数通讯》2013,41(9):4605-4611
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Fatemeh Vosooghpour 《代数通讯》2013,41(4):1292-1299
Let G be a group. If the set 𝒜(G) = {α ∈Aut(G) | xα(x) = α(x)x, for all x ∈ G} forms a subgroup of Aut(G), then G is called 𝒜(G)-group. We show that the minimum order of a non-𝒜(G) p-group is p 5 for any prime p. We also find the smallest group order of a non-𝒜(G) group. This is related to a question introduced by Deaconescu, Silberberg, and Walls [4]. Moreover, we prove that for any prime p and for all integer n ≥ 5, there exists a non-𝒜(G) group of order p n . 相似文献
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Sei-Qwon Oh 《代数通讯》2017,45(12):5088-5091
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