On the multiplication groups of semifields
نویسنده
چکیده
We investigate the multiplicative loops of finite semifields. We show that the group generated by the left and right multiplication maps contains the special linear group. This result solves a BCC18 problem of A. Drápal. Moreover, we study the question of whether the bigMathieu groups can occur asmultiplication groups of loops. © 2009 Elsevier Ltd. All rights reserved.
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ورودعنوان ژورنال:
- Eur. J. Comb.
دوره 31 شماره
صفحات -
تاریخ انتشار 2010