【摘 要】
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Let G be a finite group and H a subgroup of G.We say that H is S-permutable in G if H permutes with every Sylow subgroup of G.A group G is called a generalized
【机 构】
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Department of Mathematics and Computer Science, Faculty of Science Beni-Suef University, 62511 Beni-
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Let G be a finite group and H a subgroup of G.We say that H is S-permutable in G if H permutes with every Sylow subgroup of G.A group G is called a generalized smooth group (GS-group) if[G/L]is totally smooth for every subgroup L of G of prime order.In this paper,we investigate the structure of G under the assumption that each subgroup of prime order is S-permutable if the maximal subgroups of G are GS-groups.
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