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Communications in Algebra Volume 46, 2018 - Issue 7
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Original Articles

Two classes of finite groups whose Chermak-Delgado lattice is a chain of length zero

Ryan McCullochDepartment of Mathematics, University of Bridgeport, Bridgeport, Connecticut, USAORCID Iconhttp://orcid.org/0000-0002-3059-5039
ORCID Icon &
Marius TărnăuceanuFaculty of Mathematics, “Al.I. Cuza” University, Iaşi, RomaniaCorrespondence[email protected]
Pages 3092-3096 | Received 18 Aug 2017, Published online: 14 Dec 2017

References

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  • Brewster, B., Hauck, P., Wilcox, E. (2014). Groups whose Chermak-Delgado lattice is a chain. J. Group Theory 17:253–279.
  • Brewster, B., Wilcox, E. (2012). Some groups with computable Chermak-Delgado lattices. Bull. Aust. Math. Soc. 86:29–40.
  • Brodkey, J. S. (1963). A note on finite groups with an abelian Sylow group. Proc. AMS 14:132–133.
  • Chermak, A., Delgado, A. (1989). A measuring argument for finite groups. Proc. AMS 107:907–914.
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  • Isaacs, I. M. (2008). Finite Group Theory. Providence, RI: American Mathematical Society.
  • McCulloch, R. (2017). Chermak-Delgado simple groups. Commun. Algebra 45:983–991.
  • Schmidt, R. (1994). Subgroup Lattices of Groups. de Gruyter Expositions in Mathematics, Vol. 14. Berlin: de Gruyter.
  • Tărnăuceanu, M. (2017). The Chermak-Delgado lattice of ZM-groups. Results Math. 72(4).
  • Thompson, J. G. (1959). Finite groups with fixed point free automorphisms of prime order. Proc. Natl. Acad. Sci. USA 45:578–581.
  • Wilcox, E. (2016). Exploring the Chermak-Delgado lattice. Math. Mag. 89:38–44.
  • Zassenhaus, H. J. (1956). The Theory of Groups. 2nd ed. New York: Chelsea.

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