Finite groups with regular join graph of subgroups
2016 ◽
Vol 15
(09)
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pp. 1650170
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Let [Formula: see text] be a non-trivial finite group different from a cyclic [Formula: see text]-group. The join graph of [Formula: see text] is a graph whose vertex set is the set of all proper subgroups of [Formula: see text] which are not contained in the Frattini subgroup of [Formula: see text] and two distinct vertices [Formula: see text] and [Formula: see text] are joined by an edge if and only if [Formula: see text]. In this paper we classify finite groups with regular graphs and determine their graphs.
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2019 ◽
Vol 18
(01)
◽
pp. 1950013
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1969 ◽
Vol 21
◽
pp. 418-429
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1994 ◽
Vol 36
(2)
◽
pp. 241-247
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