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On self-normality and abnormality in the alternating groups |
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| Authors: | |
| Institution: | (1) Department of Mathematical Sciences, Binghamton University, Binghamton, NY 13902, USA;(2) Department of Mathematics, Western Oregon University, Monmouth, OR 97361, USA;(3) Department of Mathematics, Shanxi Teachers University, Linfen, Shanxi, 041004, People s Republic of China |
| Abstract: | It is known that in a finite solvable group G, a subgroup H is abnormal if and only if every subgroup of G containing H is self-normalizing in G. Although, in general, the assumption of solvability cannot be dropped, in this paper we prove the theorem for the special case G = An and H a second maximal intransitive subgroup of An.Received: 1 July 2003 |
| Keywords: | 20B35 |
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