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Communications in Algebra Volume 23, 1995 - Issue 6
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Original Articles

On the minimal number of generators of finite non-abelian p-groups having an abelian automorphism group

Marta Morigi Dipartimento di Matematica Pura ed Applicatavia, Università degli studi di Padova, 35131 Padova ITALY, Belzoni, 7 E-mail: [email protected]
Pages 2045-2065 | Received 01 Jul 1994, Published online: 27 Jun 2007

Citations (21)

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M. Shabani-Attar. (2023) On central automorphisms of finite p-groups of class 2. Quaestiones Mathematicae 46:9, pages 1981-1990.
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Rohit Garg & Mandeep Singh. (2023) On the coincidence of automorphism groups of finite p-groups. Quaestiones Mathematicae 46:7, pages 1385-1391.
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M. Shabani-Attar. (2015) On Finite p-Groups Whose IA-Automorphisms Are All Class Preserving. Communications in Algebra 43:6, pages 2437-2442.
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ManojK. Yadav. (2013) On Finite p-Groups Whose Central Automorphisms are all Class Preserving. Communications in Algebra 41:12, pages 4576-4592.
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A. Abdollahi, A. Faghihi & A. Mohammadi Hassanabadi. (2008) 3-Generator Groups Whose Elements Commute with Their Endomorphic Images Are Abelian. Communications in Algebra 36:10, pages 3783-3791.
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A. Abdollahi, A. Faghihi & A. Mohammadi Hassanabadi. (2008) Minimal Number of Generators and Minimum Order of a Non-Abelian Group Whose Elements Commute with Their Endomorphic Images. Communications in Algebra 36:5, pages 1976-1987.
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M. J. Curran & D. J. McCaughan. (2001) CENTRAL AUTOMORPHISMS THAT ARE ALMOST INNER. Communications in Algebra 29:5, pages 2081-2087.
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Articles from other publishers (14)

Mehdi Shabani-Attar. (2023) A note on central automorphisms that fix the center elementwise. Indian Journal of Pure and Applied Mathematics.
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Rasoul Soleimani. (2022) Some properties of certain automorphism groups of finite p-groups. Asian-European Journal of Mathematics 16:03.
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Hamid Taheri, Mohammd Reza R. Moghaddam & Mohammad Amin Rostamyari. (2019) Some properties on $$\mathrm{IA_Z}$$-automorphisms of groups. Arabian Journal of Mathematics 9:3, pages 691-695.
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Rahul Dattatraya Kitture & Manoj K. Yadav. (2016) Note on Caranti’s method of construction of Miller groups. Monatshefte für Mathematik 185:1, pages 87-101.
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Rahul Dattatraya Kitture & Manoj K. Yadav. 2018. Group Theory and Computation. Group Theory and Computation 119 140 .
A. Caranti. (2014) A module-theoretic approach to abelian automorphism groups. Israel Journal of Mathematics 205:1, pages 235-246.
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M.M. Nasrabadi & Z. Kaboutari Farimani. (2015) Absolute central automorphisms that are inner. Indagationes Mathematicae 26:1, pages 137-141.
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Sandeep Singh, Deepak Gumber & Hemant Kalra. (2014) IA-automorphisms of finitely generated nilpotent groups. Journal of Algebra and Its Applications 13:07, pages 1450027.
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S. FOULADI & R. ORFI. (2014) MINIMAL NON-ABELIAN GROUPS AS AUTOMORPHISM GROUPS OF FINITE GROUPS. Journal of Algebra and Its Applications 13:05, pages 1350150.
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M. Deaconescu & G. L. Walls. (2013) Groups Acting on Groups. Algebra and Logic 52:5, pages 387-391.
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Hemant Kalra & Deepak Gumber. (2013) On equality of central and class preserving automorphisms of finite p-groups. Indian Journal of Pure and Applied Mathematics 44:5, pages 711-725.
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VIVEK K. JAIN, PRADEEP K. RAI & MANOJ K. YADAV. (2013) ON FINITE p-GROUPS WITH ABELIAN AUTOMORPHISM GROUP. International Journal of Algebra and Computation 23:05, pages 1063-1077.
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Vivek K. Jain & Manoj K. Yadav. (2011) On finite p-groups whose automorphisms are all central. Israel Journal of Mathematics 189:1, pages 225-236.
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Guining Ban & Shuxia Yu. (1997) A result about Abelian automorphism groups. Science in China Series A: Mathematics 40:5, pages 494-500.
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