|
This article is cited in 1 scientific paper (total in 1 paper)
Free decompositions in varieties of $\Lambda$-groups
S. V. Polin
Abstract:
This paper is concerned with $\Lambda$-groups, i.e. groups with powers from a field $\Lambda$ of characteristic $0$. Particular examples of $\Lambda$-groups are complete groups with single valued root extraction ($D$-groups). It is proven that in the variety of $\Lambda$-groups theorems concerning the decomposition of $\Lambda$-subgroups of a free product of $\Lambda$-groups and free $\Lambda$-subgroups of a free $\Lambda$-group are valid.
Bibliography: 6 titles.
Received: 16.03.1971
Citation:
S. V. Polin, “Free decompositions in varieties of $\Lambda$-groups”, Mat. Sb. (N.S.), 87(129):3 (1972), 377–395; Math. USSR-Sb., 16:3 (1972), 389–407
Linking options:
https://www.mathnet.ru/eng/sm3131https://doi.org/10.1070/SM1972v016n03ABEH001433 https://www.mathnet.ru/eng/sm/v129/i3/p377
|
Statistics & downloads: |
Abstract page: | 197 | Russian version PDF: | 80 | English version PDF: | 2 | References: | 33 |
|