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Ballester-Bolinches, Adolfo; Esteban-Romero, Ramon; Asaad, Mohamed (2010),
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is an
Iwasawa group if and only if one of the following cases happens:
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Both finite and infinite M-groups are presented in textbook form in
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Zimmermann, Irene (1989), "Submodular subgroups in finite groups",
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Ballester-Bolinches, Esteban-Romero & Asaad 2010
275:The Iwasawa group of order 16 is isomorphic to the
263:-group is an Iwasawa group if and only if it is a
110:is called an Iwasawa group when every subgroup of
343:(1943), "On the structure of infinite M-groups",
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43:. There might be a discussion about this on
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463:Berkovich, Yakov; Janko, Zvonimir (2008),
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63:Learn how and when to remove this message
322:J. Fac. Sci. Imp. Univ. Tokyo. Sect. I.
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345:Japanese Journal of Mathematics
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504:. You can help Knowledge by
277:modular maximal-cyclic group
465:Groups of Prime Power Order
375:Subgroup Lattices of Groups
251:Every subgroup of a finite
236:. Roland Schmidt (
226:Berkovich & Janko (2008
129:Kenkichi Iwasawa (
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447:Products of Finite Groups
410:Mathematische Zeitschrift
106:. Alternatively, a group
373:Schmidt, Roland (1994),
358:10.4099/jjm1924.18.0_709
248:, Lemma 2.3.2, p. 55).
185:denotes a generator of
500:-related article is a
289:Modular law for groups
383:10.1515/9783110868647
556:Properties of groups
212:≥ 1 in general, but
100:lattice of subgroups
33:confusing or unclear
126:, pp. 24–25).
41:clarify the article
561:Group theory stubs
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341:Iwasawa, Kenkichi
318:Iwasawa, Kenkichi
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351:: 709–728,
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77:mathematics
545:Categories
311:References
255:-group is
116:permutable
53:April 2015
35:to readers
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257:subnormal
283:See also
271:Examples
265:PT-group
216:≥ 2 for
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181:and if
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118:in
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