Let H be a subgroup of the finite group G and let SG(H) be the set of all elements g of G such that H is subnormal in 〈H, g〉. We prove a formula for the order of SG(H) when H is a p-subgroup for some prime p.
On the subnormalizer of a p-subgroup / C. CASOLO. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - STAMPA. - 77:(1992), pp. 231-238. [10.1016/0022-4049(92)90139-7]
On the subnormalizer of a p-subgroup
CASOLO, CARLO
1992
Abstract
Let H be a subgroup of the finite group G and let SG(H) be the set of all elements g of G such that H is subnormal in 〈H, g〉. We prove a formula for the order of SG(H) when H is a p-subgroup for some prime p.
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