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A new embedding scheme for groups and some applications

Part of: Special aspects of infinite or finite groups

Published online by Cambridge University Press:  09 April 2009

Viatcheslav N. Obraztsov
Viatcheslav N. Obraztsov
Affiliation:
Facutly of Mathematics and Physics Kostroma Pedagogical UniversityFirst of May 14, Kostroma 156601, Russia
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Abstract

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In this paper a scheme of an ‘economical’ embedding of an arbitrary set of groups without involutions in an infinite group with a proper simple normal subgroup is presented. This scheme is then applied to construction of groups with new properties.

MSC classification

Secondary: 20F05: Generators, relations, and presentations 20F06: Cancellation theory; application of van Kampen diagrams
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 61 , Issue 2 , October 1996 , pp. 267 - 288
Copyright
Copyright © Australian Mathematical Society 1996

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