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Ordering finite groups by involvement

Published online by Cambridge University Press:  09 April 2009

M. D. Atkinson
M. D. Atkinson
Affiliation:
Department of Computing MathematicsUniversity CollegeCardiff
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In the study of locally finite varieties of groups it has often been illuminating to consider when a group A is a factor (i.e. quotient of a subgroup) of a group B. We write A ⋨ B to express this and say that A is involved in B. It follows from elementary isomorphism theorems that the relation ⋨ is a partial order on any set of finite groups. The conjecture that we consider in this paper (and to which we only give the beginning of an answer) is the following:

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 19 , Issue 4 , June 1975 , pp. 431 - 436
Copyright
Copyright © Australian Mathematical Society 1975

References

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