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Journal of Mathematics
Volume 2013, Article ID 609218, 5 pages
Research Article

Groups Which Contain the Diffeomorphisms and Superdiffeomorphisms as Proper Subgroups

Deparement of Mathematics, University of North Georgia, Dahlonega, GA 30597, USA

Received 13 August 2012; Revised 28 March 2013; Accepted 29 March 2013

Academic Editor: De-Xing Kong

Copyright © 2013 Dave Pandres Jr. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We begin by recalling a group which is an enlargement of the diffeomorphisms on an ordinary manifold. We used this larger group to unify the gravitational and electroweak fields, which are mediated by bosons. Unfortunately, we could not include the neutrinos, because geometrical theories based on an ordinary manifold generally cannot include fermions. Therefore, in this paper, we introduce an analogous group that contains the superdiffeomorphisms on a DeWitt supermanifold as a proper subgroup.