Finite systems of generators of infinite subgroups of the Golod group

被引：0
作者：
Timofeenko, A. V.
机构：
来源：
DISCRETE MATHEMATICS AND APPLICATIONS | 2013年 / 23卷 / 5-6期
关键词：
free associative algebra; homogeneous ideal nilalgebra; nilpotent algebra; periodic group; a finitely generated group; involution; Golod group;
D O I：
10.1515/dma-2013-034
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the 1980s, E.S. Golod construction of infinite-dimensional nilalgebras was adapted by the author for the construction of nonnilpotent subalgebras generated by two elements. In appropriate 2-generated subgroups of adjoint p-groups some infinite subgroups generated by a pair of conjugate elements of order p, p is an odd prime, were found. In this paper, this construction is generalized. We give a condition that guarantees that finitely generated subalgebra of nilalgebra is not nilpotent. The infinite subgroups of the Golod group generated by involutions are constructed.
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页码：491 / 501
页数：11
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