<html><head><title>ModIsom : a GAP 4 package - References</title></head>
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<h1><font face="Gill Sans,Helvetica,Arial">ModIsom</font> : a <font face="Gill Sans,Helvetica,Arial">GAP</font> 4 package - References</h1><dl>
<dt><a name="Bag92"><b>[Bag92]</b></a><dd>
C. Bagiński.
<br> Modular group algebras of 2-groups of maximal class.
<br> <em>Comm. Algebra</em>, 20(5):1229--1241, 1992.
<dt><a name="Bag99"><b>[Bag99]</b></a><dd>
C. Bagiński.
<br> On the isomorphism problem for modular group algebras of elementary
abelian-by-cyclic <i>p</i>-groups.
<br> <em>Colloq. Math.</em>, 82(1):125--136, 1999.
<dt><a name="BC88"><b>[BC88]</b></a><dd>
C. Bagiński and A. Caranti.
<br> The modular group algebras of <i>p</i>-groups of maximal class.
<br> <em>Canad. J. Math.</em>, 40(6):1422--1435, 1988.
<dt><a name="BdR21"><b>[BdR21]</b></a><dd>
O. Broche and Á. del Río.
<br> The modular isomorphism problem for two generated groups of class
two.
<br> <em>Indian J. Pure Appl. Math.</em>, 52(3):721--728, 2021.
<dt><a name="BK07"><b>[BK07]</b></a><dd>
C. Bagiński and A. Konovalov.
<br> The modular isomorphism problem for finite <i>p</i>-groups with a cyclic
subgroup of index <i>p</i><sup>2</sup>.
<br> In <em>Groups St. Andrews 2005. Vol. 1</em>, volume 339 of <em>
London Math. Soc. Lecture Note Ser.</em>, pages 186--193. Cambridge Univ. Press,
Cambridge, 2007.
<dt><a name="BKRW99"><b>[BKRW99]</b></a><dd>
F. Bleher, W. Kimmerle, K. W. Roggenkamp, and M. Wursthorn.
<br> Computational aspects of the isomorphism problem.
<br> In <em>Algorithmic algebra and number theory (Heidelberg, 1997)</em>,
pages 313--329. Springer, Berlin, 1999.
<dt><a name="Dre89"><b>[Dre89]</b></a><dd>
V. Drensky.
<br> The isomorphism problem for modular group algebras of groups with
large centres.
<br> In <em>Representation theory, group rings, and coding theory</em>,
volume 93 of <em>Contemp. Math.</em>, pages 145--153. Amer. Math. Soc.,
Providence, RI, 1989.
<dt><a name="Eic07"><b>[Eic07]</b></a><dd>
B. Eick.
<br> Computing automorphism groups and testing isomorphisms for modular
group algebras.
<br> <em>J. Algebra</em>, 320(11):3895--3910, 2008.
<dt><a name="Eic11"><b>[Eic11]</b></a><dd>
B. Eick.
<br> Computing nilpotent quotients of associative algebras and algebras
satisfying a polynomial identity.
<br> <em>Internat. J. Algebra Comput.</em>, 21(8):1339--1355, 2011.
<dt><a name="EKo11"><b>[EKo11]</b></a><dd>
B. Eick and A. Konovalov.
<br> The modular isomorphism problem for the groups of order 512.
<br> In <em>Groups St Andrews 2009 in Bath. Volume 2</em>, volume 388
of <em>London Math. Soc. Lecture Note Ser.</em>, pages 375--383. Cambridge Univ.
Press, Cambridge, 2011.
<dt><a name="GL24"><b>[GL24]</b></a><dd>
D. García-Lucas.
<br> The modular isomorphism problem and abelian direct factors.
<br> <em>Meditt. J. of Math.</em>, 21:Article no. 18, 2024.
<dt><a name="GLdR23"><b>[GLdR23]</b></a><dd>
D. García-Lucas and Á. del Río.
<br> On the modular isomorphism problem for 2-generated groups with cyclic
derived subgroup.
<br> <em>J. Alg. App.</em>, 2024.
<br> https://doi.org/10.1142/S0219498825503311.
<dt><a name="GLdRS22"><b>[GLdRS22]</b></a><dd>
Diego García-Lucas, Ángel del Río, and Mima Stanojkovski.
<br> On group invariants determined by modular group algebras: even versus
odd characteristic.
<br> <em>Algebr. Represent. Theory</em>, 26(6):2683--2707, 2023.
<dt><a name="GLM24"><b>[GLM24]</b></a><dd>
D. García-Lucas and L. Margolis.
<br> On the modular isomorphism problem for groups of nilpotency class 2
with cyclic center.
<br> <em>Forum Math.</em>, 36(5):1321--1340, 2024.
<dt><a name="GLMdR22"><b>[GLMdR22]</b></a><dd>
D. García-Lucas, L. Margolis, and Á. del Río.
<br> Non-isomorphic 2-groups with isomorphic modular group algebras.
<br> <em>J. Reine Angew. Math.</em>, 783:269--274, 2022.
<dt><a name="Her07"><b>[Her07]</b></a><dd>
M. Hertweck.
<br> A note on the modular group algebras of odd <i>p</i>-groups of
<i>M</i>-length three.
<br> <em>Publ. Math. Debrecen</em>, 71(1-2):83--93, 2007.
<dt><a name="HS06"><b>[HS06]</b></a><dd>
M. Hertweck and M. Soriano.
<br> On the modular isomorphism problem: groups of order 2<sup>6</sup>.
<br> In <em>Groups, rings and algebras</em>, volume 420 of <em>Contemp.
Math.</em>, pages 177--213. Amer. Math. Soc., Providence, RI, 2006.
<dt><a name="Jen41"><b>[Jen41]</b></a><dd>
S. A. Jennings.
<br> The structure of the group ring of a <i>p</i>-group over a modular
field.
<br> <em>Trans. Amer. Math. Soc.</em>, 50:175--185, 1941.
<dt><a name="MM22"><b>[MM22]</b></a><dd>
L. Margolis and T. Moede.
<br> The Modular Isomorphism Problem for small groups -- revisiting
Eick's algorithm.
<br> <em>Journal of Computational Algebra</em>, 1-2:100001, 2022.
<dt><a name="MS22"><b>[MS22]</b></a><dd>
L. Margolis and M. Stanojkovski.
<br> On the modular isomorphism problem for groups of class 3 and
obelisks.
<br> <em>J. Group Theory</em>, 25(1):163--206, 2022.
<dt><a name="MSS23"><b>[MSS23]</b></a><dd>
L. Margolis, T. Sakurai, and M. Stanojkovski.
<br> Abelian invariants and a reduction theorem for the modular
isomorphism problem.
<br> <em>J. Algebra</em>, 636:1--27, 2023.
<dt><a name="PS72"><b>[PS72]</b></a><dd>
I. B. S. Passi and S. K. Sehgal.
<br> Isomorphism of modular group algebras.
<br> <em>Math. Z.</em>, 129:65--73, 1972.
<dt><a name="RS83"><b>[RS83]</b></a><dd>
J. Ritter and S. K. Sehgal.
<br> Isomorphism of group rings.
<br> <em>Arch. Math. (Basel)</em>, 40(1):32--39, 1983.
<dt><a name="RS93"><b>[RS93]</b></a><dd>
K. W. Roggenkamp and L. L. Scott.
<br> Automorphisms and nonabelian cohomology: an algorithm.
<br> <em>Linear Algebra Appl.</em>, 192:355--382, 1993.
<dt><a name="San85"><b>[San85]</b></a><dd>
R. Sandling.
<br> The isomorphism problem for group rings: a survey.
<br> In <em>Orders and their applications (Oberwolfach, 1984)</em>, pages
256--288. Springer, Berlin, 1985.
<dt><a name="San89"><b>[San89]</b></a><dd>
R. Sandling.
<br> The modular group algebra of a central-elementary-by-abelian
<i>p</i>-group.
<br> <em>Arch. Math. (Basel)</em>, 52(1):22--27, 1989.
<dt><a name="Wur93"><b>[Wur93]</b></a><dd>
M. Wursthorn.
<br> Isomorphisms of modular group algebras: an algorithm and its
application to groups of order 2\sp 6.
<br> <em>J. Symbolic Comput.</em>, 15(2):211--227, 1993.
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