Growth rate for endomorphisms of finitely generated nilpotent groups
Keyword(s):
AbstractWe prove that the growth rate of an endomorphism of a finitely generated nilpotent group is equal to the growth rate of the induced endomorphism on its abelianization, generalizing the corresponding result for an automorphism in [T. Koberda, Entropy of automorphisms, homology and the intrinsic polynomial structure of nilpotent groups, In the Tradition of Ahlfors–Bers. VI, Contemp. Math. 590, American Mathematical Society, Providence 2013, 87–99].
2014 ◽
Vol 51
(4)
◽
pp. 547-555
◽
1995 ◽
Vol 117
(3)
◽
pp. 431-438
◽
1979 ◽
Vol 31
(2)
◽
pp. 427-435
◽
2010 ◽
Vol 20
(05)
◽
pp. 661-669
◽
Keyword(s):
1996 ◽
Vol 19
(3)
◽
pp. 539-544
◽
Keyword(s):
2018 ◽
Vol 2018
(738)
◽
pp. 281-298
◽
2000 ◽
Vol 20
(3)
◽
pp. 809-820
◽
Keyword(s):
1956 ◽
Vol 52
(1)
◽
pp. 5-11
◽
Keyword(s):