Automorphism groups with some finiteness conditions
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AbstractAll considered groups are torsion or do not contain infinitely generated subgroups. If such a groupNext, we show that ifThe Birkhoff’s construction can be slightly modified so as to obtain a smaller set of operations. In fact, it is enough to take the right multiplications by generators. Moreover, we show that this is the best possible lower bound for the number of unary operations in the case of groups considered here. If we admit non-unary operations, then for finite and countable groups we can reduce the number of operations to one binary operation. On the other hand, if
2019 ◽
Vol 11
(3)
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pp. 328-341
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1978 ◽
Vol 10
(3)
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pp. 193-208
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2021 ◽
Vol specjalny
(XXI)
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pp. 641-654
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2018 ◽
Vol 120
(2)
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pp. 729-740
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2019 ◽
Vol 06
(02)
◽
pp. 340-360
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