I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2011/2012, VOLUME 17, NUMBER 2, PAGES 167-176
Pseudocharacters on free groups, invariant with respect to some types
D. Z. Kagan
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We investigate methods for constructing nontrivial pseudocharacters
on free group invariant
with respect to certain types of endomorphisms.
We find some conditions for endomorphisms of the free group under
which there is a nontrivial pseudocharacter that is invariant
with respect to these endomorphisms.
We consider free products , where
one factor is , and the
other factor is a group on which there is a pseudocharacter.
For such products we obtain a similar result about the conditions
of existence of nontrivial pseudocharacters invariant with respect to
Last modified: March 6, 2012