On Varieties and The Direct Limit of Groups

Author(s):

Homayoon Arabyani *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
Leedham-Green and McKay [ Acta Math.137( 1967) 99-150] introduced the generalized version of the Baer-invariant of a group with respect to two varieties of groups. A group G is called capable if there exists a group H such that G=H/Z(H). In this paper , we generalize some properties of capability of direct product of groups with respect to two varieties of groups and direct Limits.Moreover, we survey some properties of the Baer - invariant of a pair of groups with respect to two varieties of groups and direct Limits.
Keywords:

Capable groups , Direct Limit , Baer-invariant

Language:
English
Published:
Mathematics and Computational Sciences, Volume:4 Issue: 3, Summer 2023
Pages:
13 to 18
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