Given two positive integers n and c, we determine an upper bound, as a function of n and c, for the maximum order of a finite nilpotent transitive group of degree n and nilpotency class at most c.
Crestani, E., Spiga, P. (2014). On the maximum order of nilpotent transitive permutation groups. ARCHIV DER MATHEMATIK, 103(4), 313-327 [10.1007/s00013-014-0689-2].
On the maximum order of nilpotent transitive permutation groups
SPIGA, PABLO
2014
Abstract
Given two positive integers n and c, we determine an upper bound, as a function of n and c, for the maximum order of a finite nilpotent transitive group of degree n and nilpotency class at most c.
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