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Subgroup Theorems for the Baer-Invariant of Groups

✍ Scribed by M.R.R. Moghaddam; B. Mashayekhy; S. Kayvanfar

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
193 KB
Volume
206
Category
Article
ISSN
0021-8693

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✦ Synopsis

that if G is a finite group with a subgroup H of finite index n, then the nth power Ε½ . n Ε½ . of the Schur multiplier of G, M G , is isomorphic to a subgroup of M H . In this paper we prove a similar result for the centre by centre by w variety of groups, where w is any outer commutator word. Then using a result of M. R. R.

Ž . Moghaddam Arch. Math. 33, 1979, 504᎐511 , we will be able to deduce a result of Schur's type with respect to the variety of nilpotent groups of class at most c Ž . cG1 , when c q 1 is any prime number or 4.

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