Group algebras whose -elements form a subgroup.

Autor:	Ramezan-Nassab, M.
Předmět:	GROUP algebras SUBGROUP growth MATHEMATICAL forms PI-algebras INFINITY (Mathematics) ABELIAN functions
Zdroj:	Journal of Algebra & Its Applications; Sep2017, Vol. 16 Issue 9, p-1, 7p
Abstrakt:	Let be a group, a field of characteristic , and the unit group of the group algebra . In this paper, among other results, we show that if either (1) satisfies a non-matrix polynomial identity, or (2) is locally finite, is infinite and is an Engel-by-finite group, then the -elements of form a (normal) subgroup and is abelian (here, of course, if ). [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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