Author:
Kuznetsov Alexander A,Kuznetsova Alexandra S,Kishkan Vladimir V
Abstract
Abstract
Let B
0(2, 5) = 〈a
1, a
2〉 be the largest two-generator Burnside group of exponent five. It has the order 534. We define an automorphism φ under which every generator is mapped into another generator. Let C
B
0(2,5)(φ) be the centralizer of φ in B
0(2, 5). It is known that |C
B
0(2,5)(φ)| = 517. We calculated the growth function of this group relative to the minimal generating set and also the symmetric generating set. As the results, the diameters and the average diameters of C
B
0(2,5)(φ) were computed.
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