NDLI: A CONDITION IN FINITE SOLVABLE GROUPS RELATED TO CYCLIC SUBGROUPS

Content Provider	Scilit
Author	Imperatore, D. Lewis, Mark L.
Copyright Year	2010
Description	In this paper, we classify the finite groups belonging to the class of cyclic-transitive groups. A group G is said to be cyclic-transitive if the following condition holds: if x, y, z are nonidentity elements of G such that 〈x,y〉 and 〈y,z〉 are both cyclic, then 〈x,z〉 is also cyclic.
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/C9B21F494C449B3AD259143756C668D5/S0004972710001747a.pdf/div-class-title-a-condition-in-finite-solvable-groups-related-to-cyclic-subgroups-div.pdf
Ending Page	272
Page Count	6
Starting Page	267
ISSN	00049727
e-ISSN	17551633
DOI	10.1017/s0004972710001747
Journal	Bulletin of the Australian Mathematical Society
Issue Number	2
Volume Number	83
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	2011-04-01
Access Restriction	Open
Subject Keyword	Bulletin of the Australian Mathematical Society Cybernetical Science Primary 20d10 Finite Solvable Groups Finite Nonsolvable Groups Cyclic Subgroups Partitioned Groups
Content Type	Text
Resource Type	Article
Subject	Mathematics

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A CONDITION IN FINITE SOLVABLE GROUPS RELATED TO CYCLIC SUBGROUPS